Golubeva began skating as a singles skater and trained in Moscow.
In the fall of 2019, she and her coach, Marina Dezhina, were contacted by Galina and Andrei Pachin, asking if she would be interested in trying out for pair skating with Hektor Giotopoulos Moore of Australia. Deciding to give it a try, Golubeva immediately fell in love with pair skating and decided to team up with Giotopoulos Moore and skate for Australia with him. Initially, wanting to finish the 2019–20 figure skating season, Golubeva continued participating in singles skating competitions in Russia while simultaneously beginning to train in pairs with Giotopoulos Moore.
In February of 2020, the COVID-19 pandemic hit while Giotopoulos Moore was training with Golubeva, whom had yet to obtain a visa to relocate to Australia, in Moscow. Due to lockdowns, Golubeva/Giotopoulos Moore were unable to use Russian ice rinks to train so instead, they would meet daily to practice off-ice training. The pair would also temporarily train in Belarus because the country allowed a three-month visa-free entry.
The team would finally relocate to Sydney, Australia after the country re-opened its borders.
Golubeva/Giotopoulos Moore debuted as a pair team on the 2021–22 ISU Junior Grand Prix and finished fifth at both their ISU Junior Grand Prix events in Russia and Austria. The pair would also go on to compete at the senior level the 2021–22 Challenger Series, placing eighth at the 2021 Nebelhorn Trophy and tenth at the 2021 Golden Spin of Zagreb. At the 2022 Winter Star in Minsk, Belarus, Golubeva/Giotopoulos Moore would win the gold medal.
Although the pair were assigned to compete at the 2022 World Championships in Montpellier, their plans were disrupted by the Russian invasion of Ukraine. Due to Golubeva's Russian citizenship, they were unable to have a visa processed in time to travel to France, and withdrew from the event.
As a further result of the invasion, the International Skating Union banned all Russian and Belarusian skaters from participating in international competitions, which had a significant impact on the international pairs field. Golubeva/Giotopoulos Moore were assigned as well to the 2022 World Junior Championships, initially scheduled to be held in Sofia in March. However, due to both the invasion and COVID pandemic issues, Bulgaria renounced hosting the event, which was rescheduled for Tallinn in April. Golubeva/Giotopoulos Moore placed second in the short program. They were second in the free skate as well, despite some minor errors, winning the silver medal. Golubeva said afterward that "this is my first medal. We have some little mistakes in the program, but overall we're very happy." They became the third Australian pair team to win a World Junior medal, after Cain/Cain in 1976 and Alexandrovskaya/Windsor in 2017.
Although Golubeva/Giotopoulos Moore were selected to compete on the Grand Prix circuit at 2022 Skate America and 2022 Grand Prix of Espoo, the pair elected to compete on the 2022–23 Junior Grand Prix instead. They were assigned to both Polish JGP events in Gdańsk, arriving at the first as the favourites to win, which they did by a wide margin. The gold medal was their first JGP medal. The following weekend they won their second event as well, despite a number of errors that caused Giotopoulos Mooere to say it "wasn't as good as last week." Their results qualified them for the 2022–23 Junior Grand Prix Final in Torino, Italy.
Following the Junior Grand Prix, the pair also competed at the 2022 Warsaw Cup, which they won. At the JGP Final, Golubeva/Giotopoulos Moore placed second in the short program after Golubeva struggled to cleanly land the throw triple toe-loop, but the pair would go on to deliver a strong free skate and take the gold medal. After their free skate comeback, Golubeva said that they "tried to give all the strength we had to put into this program." Theirs was the second Junior Grand Prix Final title for an Australian pair, after Alexandrovskaya/Windsor.
Although assigned to compete at the 2023 Four Continents Championships, Golubeva/Giotopoulos Moore withdrew from the event. At the 2023 World Junior Championships in Calgary, Alberta, they placed second in the short program after unexpectedly missing their death spiral. The pair were able to deliver a solid free skate, however, and win the silver medal behind Americans Baram/Tioumentsev. Giotopoulos Moore called it "a huge achievement for us and we are very happy."
Making their World Championship debut at the 2023 World Championships in Saitama, Japan, the pair placed eleventh in the short program after Golubeva fell on a throw triple loop attempt but the pair would go on to deliver an almost-perfect free skate, earning a new personal best and placing fifth in that segment of the competition, moving up to eighth-place overall. Golubeva said that they had achieved their goal of a top ten placement, adding they were "so happy and thrilled" with how they had skated.
With Giotopoulos Moore aging out of junior eligibility, the team planned for its first full senior season, primarily training in Australia for Golubeva's residency purposes, but also spending time in Montreal due to the coach's belief they needed to train with other high-level pair skaters, and Russia's being difficult to train in at the time. They were invited to participate in the Shanghai Trophy, finishing fourth.
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