In 2017, Turajlić was a founding member of the Movement of Free Citizens led by Saša Janković.

As a high school senior, she was a member of the Yugoslav national team at the 6th International Mathematical Olympiad in 1964 in Moscow.

In 2017, Turajlić signed the Declaration on the Common Language of the Croats, Serbs, Bosniaks and Montenegrins.

She has been included in the "100 Most Powerful Women in Serbia" list of daily newspaper Blic.

In 2017, Turajlić was one of the founding members of the Movement of Free Citizens led by Saša Janković.