[12] Her brother, Timur Tursynbaev, who is two years older than her, is a two-time Kazakhstan national figure skating champion.

[13] Representing Kazakhstan, Tursynbaeva made her international debut in April 2011, placing fourth in the novice ladies' category at the Rooster Cup.

[12] Before the 2013–2014 season, Tursynbaeva began training under Brian Orser and Tracy Wilson in Toronto, Canada.

[16] In September 2013, she won the silver medal in her ISU Junior Grand Prix (JGP) debut, in Minsk, Belarus.

[17] She placed fifth at her second JGP event, in Tallinn, Estonia, and eleventh at the 2014 World Junior Championships in Sofia, Bulgaria.

In February 2016, Tursynbaeva won the individual bronze medal, behind Russians Polina Tsurskaya and Maria Sotskova, at the Winter Youth Olympics in Hamar, Norway.

In March, she rose from fourteenth after the short to finish fifth overall (fourth in the free) at the 2016 World Junior Championships in Debrecen, Hungary.

[25] At the 2017 Four Continents Championships in Gangneung, South Korea, she received a small bronze medal for her short program and finished eighth overall.

Her ninth-place finish qualified two spots for the ladies' singles event for the 2018 Winter Olympics in Pyeongchang and 2018 World Championships in Milan.

Tursynbaeva won the bronze medal at the 2017 CS Autumn Classic International and then placed eighth at the 2017 Rostelecom Cup.

Assigned to two Grand Prix events, she finished fifth at the 2018 Skate Canada International and sixth at the 2018 Rostelecom Cup.

[27] She placed third in the free skate, which included an attempted quad Salchow that she fully rotated but fell on, and won the silver medal overall.

"[31] Tursynbaeva suffered from recurring injury issues that compelled her to withdraw from the 2019 CS Lombardia Trophy.

[32] Although she was able to compete at the 2019 Shanghai Trophy, where she won the silver medal, she again withdrew from competition, missing her first Grand Prix assignment, 2019 Skate America.

[33] She then subsequently withdrew from the 2019 Cup of China as well, stating that she hoped to be well enough to participate in ice shows later in the year.

[34] Following the season, Tursynvaeva announced her retirement from competition on September 20, 2021, through an Instagram post, citing difficulty in overcoming a persistent back injury.