Demetriou has been deputy chair of the Parliamentary Committee on Equal Opportunities between Men and Women and the Parliamentary Committee on Education and Culture. In 2018, she was spokesperson for Nicos Anastasiades during his campaign for President. She has been Vice President of DISY since February 2020. In April 2018, she was selected by the French government to participate in the 2018 United Nations Climate Change Conference, and in March 2020 she was an International Visitor Leadership Program observer for the United States primary elections. In July 2020, she worked with AKEL MP Skevi Koukouma to enact legislation that criminalised sexism and discrimination against women.