While climate change scepticism is not official party policy, the DUP has previously appointed a denier as environment minister in Northern Ireland, and it counts a number of creationists among its senior members.
"I certainly think that there will be contact made over the weekend but I think it is too soon to talk about what we're going to do".
She added: "Those who want to tear apart the union that we cherish and benefit from so hugely have been sent a clear and residing message".
The Democratic Unionist Party, which won 10 seats in Thursday's voting, is entering talks with the Conservatives to discuss how to work together in a new government.
Theresa May had called the snap election in order to increase the Tories" majority and give herself a mandate to push for a "hard Brexit' in negotiations with the EU.
The pound hit an eight-week low against the dollar and its lowest levels in seven months versus the euro before recovering slightly on news she would form a DUP-backed government.
A couple of hours after May's statement, the DUP leader and Northern Ireland First Minister Arlene Foster confirmed her party had started talks with the Conservatives about bringing "stability" to the United Kingdom.
"It's an issue very close to my heart and one that I wanted categoric assurances from the prime minister on, and I received (them)", said Davidson, who is engaged to be married to her female partner.
With 649 of 650 seats in the House of Commons declared, the Conservatives had 318 - short of the 326 they needed for an outright majority.
When May called the snap election, the Conservatives had a 20 point polling average lead over Labour.
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This minority government would be unable to pass laws and legislation without the votes of other parties that are not part of the government.
"We need a government that can act", EU Budget Commissioner Guenther Oettinger told German broadcaster Deutschlandfunk.
'She is putting that at risk with a sordid, unsafe distasteful deal.
European Council President Donald Tusk warned there was "no time to lose" in starting the negotiations, with the two-year countdown to Britain s exit from the European bloc already well underway. Campaigners say their actions have forced thousands of Northern Irish women to travel for terminations elsewhere, or to rely on abortion pills bought online.
"If ... the Conservative Party has won the most seats and probably the most votes then it will be incumbent on us to ensure that we have that period of stability and that is exactly what we will do", a grim-faced May said after winning her own parliamentary seat of Maidenhead, near London.
European Commission chief Jean-Claude Juncker said he hoped there would not be "further delay" in the Brexit talks that "we are desperately waiting for".
In a night that redrew the political landscape once again, the UK Independence Party (UKIP) lost millions of voters, triggering the resignation of its leader Paul Nuttall.
Former Conservative minister Anna Soubry added that the premier "is in a very hard place. she now has to obviously consider her position".
Liam Kennedy, 64, a history professor at Queen's University, said the result had "crystallised the reality of politics in Northern Ireland".
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