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2018: WTA Tour debut

Yuan made her WTA Tour main-draw debut at the Jiangxi International Open in the doubles tournament, partnering with Liu Yanni.

2022: Major debut and top 75 ranking

She made her Grand Slam main-draw debut at the 2022 Wimbledon Championships as a lucky loser.

At the next Major, at the US Open, she reached the third round for the first time after qualifying, defeating Jaimee Fourlis and Irina-Camelia Begu without losing a set.

2023: First WTA 1000 win and WTA Tour final

She qualified for the 2023 Australian Open to make her debut at this Major, and she also qualified for the Wimbledon Championships.

Yuan received a wildcard for her home tournament, the China Open, and defeated Elise Mertens for her first WTA 1000 win.

She reached her first WTA Tour final at the Korea Open where she lost to top seed Jessica Pegula.

2024: First title & top-10 win, WTA 1000 quarterfinal, top 40, Chinese No. 2

At the Hobart International, she reached the semifinals after qualifying, saving four set points against Yulia Putintseva. As a result, she reached a new career-high ranking of No. 61, on 15 January 2024.

She reached the final at the 2024 ATX Open defeating Arina Rodionova, Taylor Townsend, Wang Yafan and Anna Karolína Schmiedlová. She won the title defeating sixth seed and compatriot Wang Xiyu. As a result, she moved into the top 50 in the rankings.

At Indian Wells, she recorded her first top-10 win over eighth seed Zheng Qinwen to reach the third round of a WTA 1000 for the first time, having never previously get past the second round. Next she reached the quarterfinals for the first time with a win over Caroline Dolehide and 11th seed Daria Kasatkina. As a result, she reached the top 40 in the singles rankings becoming the Chinese No. 2 player. At the next WTA 1000, the 2024 Miami Open, she recorded her first win at this tournament over Anna Blinkova.