Regardless of Fallon's claims, a growing number of Conservatives are said to be "absolutely furious" with May for putting their jobs on the line for the sake of strengthening her hand overseas in Brexit talks.
The vicar's daughter presented herself as a "strong and stable leader" but is now facing calls to resign after throwing away her party's majority. Labour surpassed expectations by winning 262.
Sterling plunged against the dollar and the euro as even more uncertainty fed into the complex Brexit process, and European leaders bluntly reminded May that the clock was ticking. She has kept in place her broader team of ministers too, with only a few changes.
He acknowledged that the government would now be unable to get numerous measures promised in its election platform through Parliament.
But her party is deeply divided over what it wants from Brexit and the result means British businesses still have no idea what trading rules they can expect.
May has confirmed five of her most senior ministers will remain in their pre-election roles.
"What the country needs more than ever is certainty", the Conservative leader said, as a political crisis brewed around her.
May's office said on Saturday principles of an agreement had been reached, but the two sides later clarified that they are still talking. "Whoever it is, they are going to have to make deals with other political parties, and nearly every other political party that has an MP in the new parliament wants a softer version of Brexit", says French.
The arrangement with the DUP will make governing easier, but it makes some Conservatives uneasy.
The DUP, whose 10 seats would allow the government to get measures through Parliament, is a socially conservative pro-British Protestant group that opposes abortion and same-sex marriage and includes both environmentalists and climate-change deniers among its senior ranks.
The 1998 Good Friday agreement set up power sharing in Northern Ireland, largely ending years of sectarian violence.
May has said Brexit talks will begin on June 19 as scheduled, the same day as the formal reopening of parliament. Queen Elizabeth will deliver the "Queen's Speech", setting out the government's plans for the new parliamentary session. Without the amendments, he said Labour would try to vote down the speech.
"I can still be Prime Minister". "This is still on".
The 60-year-old leader said she had tapped experience across the "whole of the Conservative Party" when she appointed Michael Gove, a long-serving cabinet minister who had clashed with May when she was home secretary, as agriculture minister.
Their departures were seen as a Downing Street bid to stave off a far more dramatic resignation: that of the prime minister herself.
"Now, of course, if she's [May] got to be constantly making deals throughout this parliament, or indeed if she falls and there's a lot of negotiations or a lot of discussion as to whether she'll be leading this Conservative minority government".