In May 2023, Babayeva competed in an international tournament in Hanover, Germany where she earned a bronze medal in the team event with Yelena Taranova and Kamran Zeynalov in the 50m shooting competition, and second place in the 10m air pistol (P2) event.

[3][4] In July 2023, she won a bronze medal at the Grand Prix in Novi Sad, Serbia, in the 10m shooting event with a score of 544[5].

In August 2023, Babayeva earned a bronze medal in the 10m shooting event at the European Championship in Rotterdam, Netherlands.

[6][7] In September 2023, she and Kamran Zeynalov won a silver medal in the 10m shooting event (P6, mix) at the World Championship in Lima, Peru.

[8] In February 2024, Babayeva secured a qualification spot for the 2024 Summer Paralympic Games.