Yanovskaya began skating at age four, having become interested after watching it on television. Early in her career, she competed with Filipp Dolzhansky. She teamed up with Egor Kosheev in 2008 and skated with him until the end of the 2010–11 season. Their partnership ended when she grew too tall for him.
Yanovskaya teamed up with Sergey Mozgov in 2011. They were coached mainly by Svetlana Alexeeva at the Medvedkovo rink in Moscow.
Yanovskaya/Mozgov won the bronze medal at their first Junior Grand Prix event, in Gdańsk, Poland, and then gold in Tallinn, Estonia. Their placements qualified them for the Junior Grand Prix Final, where they placed second in the short dance, third in the free, and took the silver medal ahead of Alexandra Stepanova / Ivan Bukin. After winning the gold medal at the 2012 Winter Youth Olympics, they placed fourth at the 2012 Russian Junior Championships. At the 2012 World Junior Championships, they were third in the short dance. During the free dance the referee stopped their music because Mozgov's left bootstrap had come loose. Yanovskaya/Mozgov finished fourth overall behind American ice dancers Alexandra Aldridge / Daniel Eaton who moved up the rankings and took the bronze medal.
In 2012–13, Yanovskaya/Mozgov won a pair of silver medals at JGP events in Austria and Slovenia and qualified for the JGP Final in Sochi, Russia, where they finished fourth. They won the bronze medal at the 2013 Russian Junior Championships.
In 2013–14, Yanovskaya/Mozgov began their season by taking gold at the 2013 JGP Slovakia in Košice. They won another gold at the 2013 JGP Estonia, qualifying them for their third JGP Final in Fukuoka, Japan. Setting personal bests, Yanovskaya/Mozgov placed first in both segments at the final and won the gold medal ahead of Kaitlin Hawayek / Jean-Luc Baker. After placing second to Stepanova/Bukin at the 2014 Russian Junior Championships, they took the silver medal at the 2014 World Junior Championships in Sofia, finishing second to Hawayek/Baker.
Yanovskaya/Mozgov decided to remain in the junior ranks in the 2014–15 season. In addition to Moscow, they also trained in Liepāja in the summer. Mozgov recovered from a knee injury early in the season. During in the 2014–15 JGP series, the duo won gold medals in Estonia and Croatia, earning qualification to their fourth JGP Final. At the event, held in December in Barcelona, they outscored Alla Loboda / Pavel Drozd for the gold and stood atop the podium for the second consecutive year. In March, they competed at the 2016 World Junior Championships in Tallinn, Estonia. Ranked first in both segments, they were awarded the gold medal ahead of Lorraine McNamara / Quinn Carpenter.
Although still age-eligible for junior events in the 2015–16 season, the duo decided to move up to the senior ranks. Yanovskaya injured her back and chin due to a fall on a lift during the summer but recovered "fully and quickly". Debuting on the Grand Prix, Yanovskaya/Mozgov placed sixth at the 2015 Skate America and 2015 Trophée Éric Bompard. In December, they finished sixth at the 2016 Russian Championships in Yekaterinburg.
Mozgov ended the partnership on 4 April 2016. In May 2016, Yanovskaya said that she was searching for a new partner.
On 16 June 2016, Irina Zhuk reported that Yanovskaya had formed a partnership with Ivan Gurianov, with the duo to be coached by Zhuk. They never competed together.
In December 2016, Yanovskaya teamed up with Ádám Lukács to compete for Hungary. Making their competitive debut, the duo placed 12th at the Bavarian Open in February 2017.
GP: Grand Prix; JGP: Junior Grand Prix
Small medals for short and free programs awarded only at ISU Championships. At team events, medals awarded for team results only.