Povh had her first year of international competition in 2010. She reached the semi-finals of the 60 metres at the 2010 IAAF World Indoor Championships and won a relay bronze medal with Ukraine at the 2010 European Team Championships. She gained selection for the 100 m at the 2010 European Athletics Championships and was eliminated in the semi-finals. However, she went on to have success at the competition as part of the Ukrainian 4 × 100 metres relay team: running with Nataliya Pohrebnyak, Mariya Ryemyen, and Yelyzaveta Bryzhina, the team won the gold medal in a national record time of 42.29 seconds – the fastest mark in the world that year. The team reprised their roles for the 2010 IAAF Continental Cup, representing Europe, and took the silver medal behind the Americas team.