Yılmaz competed at the 2014 Junior European Championships in Sofia. She did not make any finals, but her performance in qualifications earned her a spot at the Youth Olympic Games. At the Youth Olympic Games, Yılmaz qualified to the all-around final, where she finished 10th. She also placed eighth in the vault and floor exercise finals. Later that year, Yılmaz competed at the Mediterranean Junior Championships in Italy, where she placed fourth in the all-around and on vault, fifth on the uneven bars and won the gold medal on the balance beam.