"She said she will serve us as long as we want her."Lawmakers, who are by tradition not named at such meetings, told Reuters that there were no dissenting voices and that the party had no appetite for a leadership election".
"Once she made her mea culpa [about the campaign] the room literally warmed up", one backbencher said.
After Theresa May's week got off to a shaky start with the news that the Queen's Speech may be delayed while the Conservatives attempt to come to a "confidence and supply" agreement with the DUP, she will be hoping that her appearance at tonight's meeting of the backbench 1922 committee is enough to regain her party's confidence.
She told a meeting of her MPs: "I got us into this mess, and I'm going to get us out of it".
The PM looks to have withstood immediate internal pressure to resign and there was no discussion at the 1922 Committee of how long she would remain in post, although there were clear signals of how her style of rule would change to keep MPs on side.
One of the biggest cheers during the meeting came for the "greatly respected" Gavin Barwell, Mrs May's new chief of staff who will have a "great deal of influence" alongside Chief Whip Gavin Williamson in the new Government.
"You're going to see in the next few weeks her taking back command, her taking back the reins, her showing what she's good at, which is delivering for the country", he said as he sought to soothe over the political turmoil that has gripped the government since Thursday's election.
Hundreds of Conservative MPs and peers crammed into a room in the House of Commons on Monday afternoon to spend ninety minutes listening to the prime minister.
The government doesn't want to antagonise them by hurrying them along but that's how we've ended up with uncertainty about the Queen's Speech. "This doesn't depend entirely on us", Winterstein told a daily briefing. "It's important we have the option if it comes down to it to walk away", he said. "That might not be altogether a bad thing".
In another sign of economic actors taking decisions based on a view Britain will be isolated from its neighbours, a medical charity said the number of nurses from European Union countries registering to work in Britain - a key part of the healthcare workforce - had dropped 96 percent since the Brexit referendum.
Senior figures, including Foreign Secretary Boris Johnson who is touted as the favourite to replace May should she be forced out, have pledged loyalty and called on colleagues to rally behind her. Many in the party were furious at the pair for shutting them out of decision-making during the election campaign.
There was a "huge amount of work to get on with", said Mr Green, adding: "Not just the Brexit negotiations that start next week, but many other challenges that face us and we are determined to produce a Queen's Speech to ensure we can fulfil the Prime Minister's ambition to have a country that works for everyone".
As discussion continued, a leading business organization said the political uncertainty is leading to a "dramatic drop" in confidence. "The UK has had a reputation, earned over the generations, for stability and predictability in its government", said a senior executive at a multi-national company listed on the London FTSE 100, speaking on condition of anonymity.
Mr Green's appointment is meant to reassure lawmakers that the days when government decisions were taken by a small cabal around the prime minister are now over, and that the new Cabinet will be more collegiate.
"The DUP are another democratically-elected party, the same way the Liberal Democrats were when we went into coalition with them in 2010", he said.
In a resignation statement on the ConservativeHome website, Mr Timothy acknowledged one of his regrets was the way Mrs May's social care policy, dubbed the "dementia tax" by critics, had been handled.
"You could argue that with the government in minority now, its leadership credibility shot to pieces, there's nearly a higher probability of no deal", the executive said.
The prime minister told the meeting there would be "no watering down" of LGBT rights as a result of any arrangement with the DUP.