On 27 May 2015, the International Tennis Federation announced that Kozlova has been found to have committed an anti-doping rule violation.

[1][2] In February, Kozlova reached her first WTA Tour final at the Taiwan Open, defeating Sabine Lisicki in the semifinals,[3] before losing the championship match to Timea Babos.

[13] At the 2023 Australian Open, Baindl defeated Kamilla Rakhimova[14] and Caty McNally to reach the third round of a Grand Slam tournament for the first time in her career.

[16] Baindl reached her second career singles final at the 2023 Budapest Grand Prix, defeating Claire Liu in the semifinals.

[19] She used a protected ranking to get into the 2024 Wimbledon Championships and the 2024 US Open, but lost in the first round at both events, in straight sets to Laura Siegemund,[20] and to Elisabetta Cocciaretto, respectively.