Kudryavtseva debuted at her first senior Europeans when she replaced Alexandra Merkulova who was one of Russia's nominal list entry for the 2013 European Championships in Vienna, Austria. Kudryavtseva competed in three apparatus and together with her teammates (Margarita Mamun and Daria Svatkovskaya) won Russia the Team gold medal. She won gold in clubs and ball (the first to score a 19.000 under the 2013–16 New Code of Points), she finished 4th in ribbon final. Kudryavtseva became the youngest gold medalist at the Europeans since Alina Kabaeva won also at 15 years of age.