Anna Kiełbasińska won the gold medal for the women's 4 x 400 metres relay at the 2019 European Indoor Championships in Glasgow, alongside Iga Baumgart-Witan, Małgorzata Hołub-Kowalik and Justyna Święty-Ersetic.

At 2019 World Athletics Championships held in Doha, she won the silver medal for the women's 4 x 400 m relay, running in the heats.

[3] Despite this, at the Games she helped Poland to victory in the heats of the women’s 4 x 400 m relay, earning the silver medal alongside Baumgart-Witan, Hołub-Kowalik, Święty-Ersetic and Natalia Kaczmarek.

[4] In February 2022, Kiełbasińska set a new Polish indoor record in the 400 metres in a time of 51.10 seconds at a meeting in Ostrava, Czech Republic.

[5][6] She was based in Poland, but later in her career would often join Dutch athletes, under the guidance of coach Laurent Meuwly, on training camps about four times a year.