By the time of the vote, Mrs May's survival looked assured, with the tally of Tory MPs publicly declaring they would support her passing the threshold of 159 needed to secure her position. Under Conservative Party rules, Mrs May can not now be ousted for a year.
He said the prime minister was trying to avoid the vote on the "botched" and "dismal" deal - and urged parliament to "take back control".
"The vote, 200-117, was not a thumping result for the PM, and while it means she remains in place, it is clear that her authority has suffered a blow, especially given that it required a promise that she would not stay for the next election", adds Beauchamp.
George Freeman told HuffPost UK's politics podcast, Commons People, that he believes there are two post-EU withdrawal scenarios which would see the Tories call a fresh vote.
Spreadex financial analyst Connor Campbell said investors were banking on Mrs May "surviving this latest challenge to her leadership, with the prime minister expected to end the day still in power".
"We now must focus on getting the right deal for Brexit and our domestic agenda".
But the PM's authority was dealt a major blow by the sheer scale of the revolt against her, and numerous leading rebels warned that she can not survive much longer having lost the confidence of so many of her MPs.
She pledged to seek "legal and political assurances" on the Brexit backstop to allay MPs' concerns about her Withdrawal Agreement when she attends a European Council summit in Brussels on Thursday.
And Work and Pensions Secretary Amber Rudd said: "She was very clear that she won't be taking the general election in 2022".
Luxembourg prime minister Xavier Bettel, who was holding one-to-one talks with Mrs May ahead of the main summit, insisted significant changes to the agreement would not be possible.
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With the world watching, after initially saying he had left the consulate alive, weeks later the Saudi leadership admitted he was killed there.
Other MPs indicated that Mrs May had promised to find a "legally binding solution" to ensuring that the United Kingdom does not get permanently trapped in a backstop arrangement to keep the Irish border open after Brexit - despite the EU's insistence that no binding commitments are on offer.
Brexiteer Jacob Rees-Mogg told the Press Association Mrs May should resign 'as soon as the Queen has a moment in her diary to see her'.
He said: "I have been asked how I will vote tonight". German chancellor Angela Merkel will step down shortly, French president Emmanuel Macron and Polish prime minister Mateusz Morawiecki are facing no confidence votes and the Belgian prime minister is now leading a minority government.
Irish prime minister Leo Varadkar, who met one-to-one with May, said she had put new ideas on the table.
Speaking outside Number 10 Downing Street after the result of the vote was announced, Mrs May said she was grateful for the support she had received.
European leaders have said any assurances they deliver can not contradict the accord agreed with the Prime Minister.
"The crisis and chaos now facing the United Kingdom is entirely a result of the vicious civil war that has engulfed the self-centred Conservative Party - at a crucial time in the UK's history, it has a lame duck Prime Minister saddled with a lame duck Brexit deal".
She said: "Because there is no doubt that [the time frame] would go beyond the legislative date of the 21st of January and it would mean that, were a new leader to come in, one of the first things that they would have to do would be either to extend Article 50 or rescind Article 50".