Davidson belongs to the relatively socially liberal, centrist wing of the Conservative Party. She supports LGBT rights and favoured extending same-sex marriage equality to Northern Ireland. She advocated a "Remain" vote at the 2016 European Union referendum and after the UK voted to leave the EU said she wanted the UK to remain part of the European Single Market and Customs Union with reciprocal freedom of movement rights, though she subsequently fell into line with the Westminster party position of leaving the Customs Union and ending free movement. Following the result of the 2017 United Kingdom general election, in which the Conservative Party lost its parliamentary majority, she said that Prime Minister Theresa May lacked a mandate to take the UK out of the EU Single Market and Customs Union.