Kosor continued as an independent, considerably more liberal, politician and eventually formed a deputy club with two Croatian Civic Party MPs. Kosor voted in favour of presenting the issue of the 2013 referendum on banning same-sex marriage before the Constitutional Court, and against the proposed Constitutional change which represented a change from her previous position on homosexuality and same-sex marriage since she had been known for being against the expansion of LGBT rights. She also voted for the Life Partnership Act which gave same-sex couples in Croatia rights equal to heterosexual married couples. After receiving death threats in 2015, Kosor was granted police protection. After speculation that she might be the SDP's candidate, Kosor eventually decided to participate in the 2015 parliamentary election as a candidate for the liberal Successful Croatia coalition in the 5th electoral district. She wasn't elected to the parliament. She continued to criticize Tomislav Karamarko and Kolinda Grabar-Kitarović as well as Bridge of Independent Lists party for their indecisiveness. In February 2016, she called on Prime Minister Tihomir Orešković to remove Zlatko Hasanbegović from the position of the Minister of Culture after photograph of him wearing a cap with an Ustaše badge was published. In August 2016, Kosor stated that yelling Za dom spremni was "an insult to war veterans and their friends who gave their lives for a democratic, independent, and free Croatia".