Since her debut for Georgia Fed Cup team in 2007, Gorgodze has accumulated a win–loss record of 18–19 in singles and 8–7 in doubles (overall 26–26), as of August 2024.

In April, she entered the Porsche Tennis Grand Prix as a lucky loser, making her WTA 500 debut but lost to Angelique Kerber.

In June 2022, she entered directly for the first time the Wimbledon Championships, making her second major main draw.

426 at the 2024 Țiriac Foundation Trophy in Bucharest, she qualified for the main draw and reached her first WTA 125 semifinal defeating Simona Waltert, Aliona Bolsova[3] and Marie Benoît.

She has won two WTA Tour doubles titles: at the 2021 Transylvania Open and at the 2022 Budapest Grand Prix.