The withdrawal deal she has negotiated with the European Union has been overwhelmingly rejected in the Commons twice, and it remains unclear whether she will bring it back a third time next week after she wrote to MPs saying she would only do so if there was "sufficient support".
May is hanging on, hoping she can persuade Brexit-backing lawmakers that rejecting her deal means Britain may never leave the EU.
In a statement after the vote, a spokesperson for the Secretary of State for Exiting the European Union said the motion set a risky precedent. "No Brexit" must not happen", May said. However, observers say the chances of the deal passing in the Commons are bleak.
Potentially. Amid an ever-greater sense of drift and gridlock in Theresa May's government, MPs have acted to take control of the timetable - and possibly the actual process of departure.
Ms. May also said that any new plan would have to be negotiated with the EU and that could take months and force Britain to participate in elections to the European Parliament in May.
If Mrs May can not deliver "convincing proofs" of how the next phase of the negotiations will be different from the last, he said she should "drop the deal, and go back to Brussels, and simply set out the terms that so many on both sides - Remainers and Leavers - now believe are sensible", wrote the former foreign secretary.
A no-deal Brexit on April 12 is becoming "increasingly likely", the European Commission has warned.
May had to delay Britain's original March 29 departure date because of the deadlock in London.
They include dozens of rebels in her Conservative Party, some opposition Labour Party MPs and the Northern Irish Democratic Unionist Party (DUP), which props up her minority government but has rejected her deal so far.
He argued it wouldn't make sense for the Prime Minister to resign if that action wouldn't secure her Brexit deal.
That amendment, backed by a wide range of cross-party MPs, would allow Parliament to hold a series of "indicative votes" on possible alternatives to May's Brexit divorce deal.
He said Tory Eurosceptics had to accept that MPs would block a no-deal Brexit.
United Kingdom lawmakers have chose to take the Brexit process out of PM Theresa May's hands, voting to accept an amendment that would break the ongoing parliamentary deadlock by changing the rules. "Only after that will she will consider indicative votes", Paul Brand said. "I'm not clear what Theresa May wants and what (opposition Labour Party leader) Jeremy Corbyn wants - these are the two main characters in this play and I can't read them at all", said Thomas Costerg, senior economist at Pictet Wealth Management.
This calls on the Government "to provide sufficient parliamentary time this week for this house to find a majority for a different approach" in a series of indicative votes.
It marked the beginning of yet another hectic week in Westminster, where MPs will try and gather support for one of many options, including a second referendum or even revoking Article 50 and reversing Brexit altogether.
She said she hoped to hold a third vote on the agreement later this week and was working to build support for the deal, which sets out the terms of withdrawing from the European Union and the outline of future relations with the bloc.
One of the attendees, former Foreign Secretary Boris Johnson, accused the government of lacking "gumption" and chickening out on delivering Brexit.
At present, the U.K.is set to leave without agreement unless lawmakers approve a divorce deal or choose another path by April 12.