Beklemiscseva began learning to skate in 2002. Competing in partnership with Nikita Ermolaev, she placed 10th at the 2012 Russian Junior Championships. She skated with Yaroslav Maslov at the 2014 Russian Junior Championships, finishing 12th.
Representing Russia, Beklemiscseva and Maxim Bobrov competed together at two ISU Junior Grand Prix (JGP) events in October 2014; after placing fourth in Dresden, Germany, they won silver in Zagreb, Croatia. The pair qualified to the JGP Final in Barcelona, Spain, where they finished fourth.
Ranked fifth at the 2015 Russian Junior Championships, they were nominated to compete at the 2015 World Junior Championships after the withdrawal of Maria Vigalova / Egor Zakroev. They placed 10th in the short program, 12th in the free skate, and 11th overall in Tallinn, Estonia. Artur Dmitriev coached the pair in Moscow.
Around 2016, Beklemiscseva teamed up with Márk Magyar to compete for Hungary on the senior level. Making their international debut, they won the bronze medal at the Bavarian Open in February 2017. In March, they placed 24th in the short program at the 2017 World Championships in Helsinki, Finland. Trudy Oltmanns coached the pair in Shakopee, Minnesota, until the end of the season.
For the 2017–2018 season, Beklemiscseva/Magyar decided to train with Robin Szolkowy, Maylin Wende, and Daniel Wende in Oberstdorf, Germany, and Zurich, Switzerland. The pair placed 8th at the 2017 CS Lombardia Trophy and 16th at the 2017 CS Nebelhorn Trophy.