She plays in the European Women's Hockey League (EWHL) with SKN Sabres St. Pölten.

Jókai Szilágyi began her senior club career with the women's representative team of KMH Budapest in the Elite Women's Hockey League (EWHL; renamed from Elite to European in 2019).

She has gone on to play with SC Weinfelden in the Swiss Leistungsklasse A (LKA), Luleå HF/MSSK in the Swedish Women's Hockey League (SDHL), the EHV Sabres (reformed as SKN Sabres St. Pölten in 2023) in the EWHL and Austrian National Championship league, MAC Budapest in the EWHL, and Skellefteå AIK in the Swedish Nationella Damhockeyligan (NDHL).

[4][5] At the 2021 IIHF Women's World Championship, she was a member of the first women's national team to represent Hungary at the Top Division level and was the team's second-highest point leader behind Fanni Gasparics, with one goal and three assists for four points in four games.

[6] Her older sister, Zsófia Jókai Szilágyi, was a member of the Hungarian national ice hockey team from 2010 until 2021, when a back injury forced her to retire from elite play at age 28.