Elia is a vocal supporter of Brexit. In 2018 she took part in a discussion on the BBC News channel about the potential effects that Britain leaving the EU might have on its creative industries. During the discussion she spoke of her involvement with the group 'Artists for Brexit' and confirmed that she had voted to leave the EU in the 2016 EU Referendum. Throughout the live segment she suggested several ways that U.K. creative industries may stand to benefit outside of the European Union.