Dušková and Martin Bidař 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 8th in September 2013 in Košice, Slovakia, and 6th 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 4th the following month in Riga, Latvia.

Ranked third in the short program and second in the free skate, Dušková/Bidař edged out Russia's Amina Atakhanova / Ilia Spiridonov by 0.33 for the silver medal behind Ekaterina Borisova / Dmitry 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 later to undergo an operation.

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

[12][13] As a single skater, Dušková made her JGP debut in September 2013, placing 12th at an event in Gdańsk, Poland.