"I sought, and to be fair to the prime minister, received a categoric assurance that in talking to the DUP that there would be no suggestion of any rollback on LGBTI rights in the rest of the United Kingdom", she said.
Britain's opposition Labour leader Jeremy Corbyn said on Sunday there could be another election this year or early in 2018 after the vote on Thursday produced no clear victor.
On Brexit, Mr Corbyn said he wants a "jobs-first Brexit" negotiated as quickly as possible along with guaranteeing the post-Brexit rights of European Union nationals living in the UK.
Democratic Unionist leader Arlene Foster is set to hold talks with Theresa May in Downing Street to finalise an agreement on propping up her minority government.
With no clear victor emerging from Thursday's election a wounded May has signalled she will fight on, and will visit the palace at 12.30pm (9.30pm AEST).
"From hubris to humiliation", said the left-leaning Guardian.
He added, however, that anti-EU elements of May's Conservative Party might resist attempts to soften the party's tone.
May had relied on Timothy and Hill for advice and support since her previous job at the interior ministry, and their resignations will be a personal blow.
"She is playing fast and loose, on Brexit; on Margaret Thatcher's greatest achievement, the single market; and now Tony Blair and Gordon Brown's greatest achievement, which is the peace in Northern Ireland", he said.
The announcement came after May lost Downing St. chiefs of staff Nick Timothy and Fiona Hill, who resigned Saturday.
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Legal experts questioned whether Mr Trump's private encounters with Mr Comey could be considered privileged. Asked if Trump ever demanded the Russian Federation investigation be shut down, Comey flatly replied "No".
May is preparing to name the rest of her cabinet, after revealing Friday that her five most senior ministers would stay in their posts.
Labour leader Jeremy Corbyn said the government did not have any credibility to go forward and the Labour Party would do what it could to stop it, including by voting down the Queen's Speech.
Speaking to Sky News on Sunday in her first interview since discussions begun, the DUP leader said: "We have had very good discussion yesterday with the Conservative party in relation to how we could support them in forming a national government".
May's party fell short of an overall majority following Thursday's vote, and plans to work with Northern Ireland's Democratic Unionist Party.
If she deals with the DUP, she must do so without compromising her Government's support for gay rights, reproductive rights and liberal values.
Both stepped down amid calls for the Prime Minister to sack them or face a leadership challenge on Monday.
"I've never seen people more hateful in my life", he said. "And I'm sorry for all those candidates and hard-working party workers who weren't successful, but also for those colleagues who were MPs and ministers and contributed so much to our country and who lost their seats and who didn't deserve to lose their seats", she said. At the start of the campaign, she was enjoying poll leads of 20 points or more over the main opposition Labour Party. "One of them is country, one of the others is LGBTI rights", Ms Davidson said.
While the DUP campaigned to leave the European Union in last year's referendum, it has refused to endorse Mrs May's position that "no deal is better than a bad deal" - insisting that there must be no return of the "hard border" with the Republic.
May put on a courageous face after Thursday's vote, expressing sorrow for the MPs who lost their seats but refusing to acknowledge how her election gamble backfired. We know when they must end.
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