In these turbulent times there seems to be little appetite to replace her – despite faint calls for a general election. But a week in politics is a long time, so here are the latest odds.
Who will be the next Prime Minister?
Theresa May will go unchallenged by her own party for the next year after surviving a vote of no confidence in December 2018.
May has seemed determined to see her Brexit deal passed before stepping down, and has hinted that she will do so before the next General Election in 2022.
But when quizzed about when she plans to resign, the PM insisted: “As far as I’m concerned, my job is not just about delivering Brexit.
“There is still a domestic agenda that I want to get on with."
David Davis was the first candidate to publicly express an interest in taking over.
In an interview in the April 2018 issue of Tatler, Mr Davis said he has the right qualifications to take over from Mrs May.
He said: "If this were an application for a job as a chief executive, I would probably win it. But it isn’t. And that isn’t the way the decision is done."
Mr Davis added that he was the PM's "favourite minister" before he resigned over Brexit last year.
What are the odds on the next Prime Minister?
Here are the latest odds from W8illiam Hill as of February 25, 2019
Jeremy Corbyn – 9/2
The bookies have been giving Jeremy Corbyn strong odds as the nation's most likely next Prime Minister.
The Labour leader has had to fight constant opposition from his own MPs including a leadership contest after just a year.
But the party swung behind him after a much stronger than expected 2017 General Election when Labour picked up 30 seats and Mrs May lost her majority.
Although the fabled "youthquake" of support from younger voters did not happen, Labour is enjoying relatively strong support in opinion polls.
Labour's policy is to keep all options on the table if the party can’t seek a general election including a second vote.
Corbyn finally agreed to consider a second referendum in February 2019 – just weeks before the UK's scheduled departure date.
And the Labour leader has also made calls for a second General Election – though not as loudly as some of his supporters may have hoped.
According to polling, Labour members are significantly more opposed to Brexit than Corbyn, with 72 per cent thinking their leader should support a second vote.
Michael Gove – 5/1
The Environment Secretary has achieved a remarkable turnaround since knifing Boris Johnson during the 2016 leadership contest.
His support among party members dropped through the floor and it seemed his chances were gone for ever.
But Mr Gove, who led the Leave campaign in the EU referendum, has rebranded himself as an ecowarrior as Environment Secretary.
He has also thrown his full support behind Theresa May's Brexit plan, winning him friends among MPs if not the party faithful.
He claimed May blundered by not having key Labour figures on her Brexit talks team.
The Environment Secretary said the PM "made a mistake by not asking Gisela Stuart to join at the beginning".
The team should also have had "people like Frank Field", he said.
He also said No Deal must be kept on the table.
Boris Johnson – 5/1
Former Foreign Secretary Boris Johnson is still a hugely popular figure among Tory grassroots and the general public.
Boris quit as Foreign Secretary on July 9, 2018, in a blow to May's government.
He walked out just hours after she lost Brexit Secretary David Davis over her Chequers plan to keep close ties to Brussels.
But many MPs appear to have turned against him, meaning he might struggle to get on the ballot.
His aborted leadership bid in 2016 was scuppered by his friend Michael Gove, severely damaging his electoral "brand".
He has called on May to stop "dithering" and tell the EU that Britain will not accept the controversial backstop arrangement designed to avoid a hard border in Ireland.
He rejected warnings about the impact of a No Deal Brexit, insisting: "Whatever the doomsters may say … there will be no shortage of Mars bars, we will still have potable drinking water in Britain. The planes will fly, the ferries will ply."
He was mocked when he tried to distance himself from controversial adverts about immigration from Turkey during the 2016 campaign.
Vote Leave adverts posted widely on social media stated that "Turkey (population 76 million) is joining the EU" and "Britain's new border is with Syria and Iraq". Some included maps with large red arrows pointing towards the UK.
But Mr Johnson (incredibly) claimed: "I didn't say anything about Turkey in the referendum …since I made no remarks, I can't disown them."
Sajid Javid – 8/1
The Home Secretary ended up backing Remain during the EU referendum but is popular among the Tory parliamentary party.
Mr Javid was appointed Home Secretary in the wake of the Windrush scandal and the resignation of Amber Rudd.
A known Eurosceptic, some of his statements in recent months and his backing for a harder Brexit have been taken as signs he is pitching for the leadership.
The MP for Bromsgrove in Worcestershire is a former managing director from Deutsche Bank.
Dominic Raab – 10/1
The former Brexit Secretary quit the cabinet in protest over Theresa May's soft divorce deal with the EU.
Raab has insisted no deal wouldn't be chaotic for Britain and said the short-term risks were "manageable".
He has blasted those who want to extend Article 50 or a second referendum.
He said: "If there's an attempt to reverse the referendum, stop Brexit altogether I think that would cut across not only the democratic mandate, the biggest in history we had."
Jeremy Hunt – 11/1
Mr Hunt was the longest-serving Health Secretary in British history before replacing Boris as Foreign Secretary.
He left the Department of Health after securing a £20bn funding increase for the NHS, but was hated by junior doctors after changing their contacts so they wouldn't receive extra pay for the many shifts they work previously classified as unsociable hours.
Mr Hunt is known to have leadership aspirations and now says he backs Brexit despite campaigning for Remain during the referendum.
Amber Rudd – 16/1
Ms Rudd has managed to stay in favour with Mrs May, taking the buck for the Windrush scandal and stepping down as Home Secretary – before months later returning to the cabinet and Work and Pensions chief in November.
The 55-year-old Hastings MP has voiced support for the PM and for her botched Brexit deal, but insiders think she's savvy enough to manoeuvre a bid to the top when she's ready.
One concern though would be her slim majority in her constituency of Hastings and Rye, which was slimmed down after the 207 vote to just 346 votes.
In contrast, Mrs May enjoys a 26,457 majority in her constituency of Maidenhead, that has stood behind her over more than two decades.
She warned the PM there could be dozens of resignations if Tory MPs are banned from voting for a plan to stop a No Deal Brexit.
Andrea Leadsom – 20/1
Though an unlikely candidate at the time, the Brexit campaigner reached the final two of the 2016 leadership contest.
She withdrew over ill-judged remarks about Theresa May not being a mother.
She is now Leader of the House, and survived in post despite reports Mrs May was planning to cut "dead wood" in her January reshuffle.
Mrs Leadsom had a role in the downfall of Sir Michael Fallon after she accused him of lewd sexual comments.
David Davis – 20/1
David Davis quit as Brexit secretary on July 8, 2018, with a devastating letter warning Mrs May her proposal would leave the UK in "a weak negotiating position" with Brussels.
He has since launched a series of attacks on Mrs May's strategy, and led a Tory rebellion to ditch the Chequers plan.
He called on Cabinet ministers to rise up and kill off the plans.
Furious Tories have demanded Mr Davis be installed as interim leader to save true Brexit.
Jacob Rees-Mogg – 20/1
Jacob Rees-Mogg, the Latin-fluent millionaire financier and MP for North East Somerset, has emerged as the leading Brexiteer on the backbenches.
He has won a huge public profile despite not being a minister and is adored by hard-line Tory activists.
Rees-Mogg has also garnered a surprise following among many young Tories – including Jungle Queen Georgia Toffolo, who called him "a sex god".
Devout Catholic Rees-Mogg has made no secret of his socially conservative views, such as being anti-abortion and against gay marriage.
His plummy tones, double-breasted suits and traditional manner have earned him the nickname "The Honourable Member for the Nineteenth Century".
Chuka Umunna – 25/1
Mr Umunna ditched the Labour Party to join forces with three former Tories and eight other ex-Labour MPs to form a new political group in February 2019 after months of plotting.
The Independent Group (TIG) will form a full-fledged parliamentary party.
Umunna insisted hey were not yet a party or a movement, with a fully worked out programme for government, but simply a group of independent MPs.
While he played down reports that he was favourite to be the first leader, he acknowledged that he wanted to play the "biggest role" in the group.
Ruth Davidson 66/1
The popular and savvy leader of the Scottish Conservatives has been touted as the potential saviour of the Tories in Westminster.
But Ruth has said repeatedly she wants to focus on Scotland and as she is not an MP she currently is not eligible to stand as leader of the UK party.
In September 2018 she declared she never wants to be Prime Minister.
She will also be putting politics on the back burner for a while as she had a baby in October 2018.
David Lammy 100/1
David Cameron 100/1
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