As a senior, Godunko competed as part of the Ukrainian group for several years, as well as occasionally competing in individual events with little success. She was the third-ranked gymnast in Ukraine for a while. She began her breakthrough at the 2002 Ukrainian Nationals, winning bronze in all-round and all gold medals in the finals. In 2003, she competed in ball at her first Grand Prix, the Deriugina Cup, and then competed in hoop and ribbon at the Holon Grand Prix and in ribbon at the Berlin Grand Prix. She won the bronze all-around medal at the 2003 Grand Prix Final in Innsbruck, Austria.