At the 2016 Turkish Championships, Yılmaz won the gold medal in the all-around as well as on vault and beam, and took the silver on bars and the bronze on floor. Yılmaz placed 53rd at the Olympic Test Event, and qualified to the 2016 Summer Olympics as an individual, becoming the second Turkish gymnast to qualify to the Olympic Games after Göksu Üçtaş Şanlı. She followed that up with a sixth place finish on beam at the Varna World Cup. In June, she competed at the European Championships, but did not make the event finals. At the Mersin World Cup in July, she won the balance beam gold in front of a home crowd, and placed fourth on floor and fifth on the uneven bars. During qualifications at the Olympics, Yılmaz placed 42nd all-around and scored an outstanding 14.500 on the balance beam, making her the third reserve for the balance beam final.