May called for the election last April, saying she hoped to expand her parliamentary majority.
He believes his party still has "more to do" and needs to learn lessons so it can go on to win a majority.
Ms Davidson, who became engaged to partner Jen Wilson in May 2016, later said: "I was fairly straightforward with her (Mrs May) and I told her that there were a number of things that count to me more than the party".
The initial reaction to the general election outcome has been to send the pound plunging.
"I will now form a government - a government that can provide certainty and lead Britain forward at this critical time for our country", she said. But the uncertainty of a hung parliament has raised concerns about Britain's ability to negotiate divorce terms by then, that would ensure that people and businesses are not stuck in legal limbo.More news: France 3-2 England: Match Report & Player Ratings
"May won't be able to make any compromises because she lacks a broad parliamentary majority", he said.
It reflects poorly on May's leadership that she has brought her party to this pass.
Jeremy Corbyn could have been Britain's next Prime Minister - if it wasn't for the performance of the Conservatives in Scotland.
In a WhatsApp message to Conservative lawmakers, Johnson said: "Folks we need to calm down and get behind the prime minister". Protagonists of the Conservative Party live and die by the sword.
Tusk added on Twitter: "We don t know when Brexit talks start".
The Times newspaper's front page declared "May stares into the abyss".More news: Wife: Man who shot congressman wanted to work on tax policy
EU Budget Commissioner Günther Oettinger said it could be possible to discuss closer ties between Britain and the EU than May had initially planned.
While Britain's North Atlantic Treaty Organisation status wasn't an issue, the disunity isn't good at a time when the threat from Russian Federation and transnational challenges like terrorism, cybercrime and conflict triggered from climate-change disruptions make the alliance more relevant than ever. She said of the Sanders approach: "The right can throw money at elections".
Downing Street said that the deal was one of "confidence and supply", meaning the DUP would support the government on key votes with either yea votes or abstention.
If she is to succeed in delivering the wishes of 52 percent of the public and take Britain out of the European Union, she must find a way to secure the full support of her party to pass legislation preparing for and enacting the departure.
The two parties are broadly politically aligned, but it remains to be seen what price the DUP will seek to extract for its support.
While Labour endorsed in its manifesto a break with Europe and even leaving the Single Market, a position it adopted to help cut immigration numbers, the party's leaders left considerable wiggle room and talked about renegotiating the rules of Single Market membership to allow some curtailing of Europeans migrating to Britain.
One DUP lawmaker suggested support for May could come vote by vote, making the job of governing fraught with risk.More news: Sen. Kamala Harris: Not backing down is in ex-prosecutor's DNA