[1] He is the son of a figure skating coach Iveta Bidařová and the younger brother of former pair skater, Petr Bidař.

[1] Originally single skaters, he and Anna Dušková began skating together as a pair after their coach, Eva Horklová, suggested the idea.

Dušková/Bidař's ISU Junior Grand Prix (JGP) debut came in the 2013–2014 season; they finished eighth in September 2013 in Košice, Slovakia, and sixth the next month in Ostrava, Czech Republic.

[3] Competing in the 2015 JGP series, Dušková/Bidař won a silver medal in August in Linz, Austria, and finished fourth the following month in Riga, Latvia.

Ranked third in the short program and second in the free skate, Dušková/Bidař edged out Russia's Atakhanova/Spiridonov by 0.33 for the silver medal behind Borisova/Sopot, who won gold by a margin of 9.53 points.

In February 2016, Dušková/Bidař competed in Hamar, Norway, at the Winter Youth Olympics, placing first in the short program, second in the free skate, and second overall with a total score 2.53 less than Borisova/Sopot.

[8] Opening their season on the JGP series, the pair won gold at their September event in Ostrava, ahead of Atakhanova/Spiridonov, and then silver the following month in Dresden, behind Mishina/Mirzoev.

Dušková injured a knee ligament during a warm-up before training in late October and decided to undergo an operation later.

[9][10] As a result, the pair withdrew from their two Grand Prix assignments – the 2017 Cup of China and 2017 Internationaux de France.

[17] They subsequently competed at the 2021 World Championships, placing fifteenth and, in the process, qualifying for a berth for a Czech pair at the 2022 Winter Olympics.

[21] With two falls in the short program of the pairs event, they finished seventeenth and were the first team to miss qualification for the free skate.

[23] Žuková/Bidař were eighth at the 2022 CS Nebelhorn Trophy to start the season before placing sixth at the 2022 Skate Canada International.

[27][28] They would then finish their season by winning bronze at the 2024 Bavarian Open and placing seventh at the 2024 International Challenge Cup.