A five-time national champion, she was the first U.S.-born player to reach the top five in the Professional Squash Association (PSA) world rankings.

During the 2009 world juniors in Chennai, India, Sobhy defeated the third seed Laura Gemmel and following it, lost to Kanzy El Defrawy.

During the semifinals, which happened few days later, she participated in a team competition with which she defeated Nour El Sherbini of Egypt who was just crowned junior world champion.

[8] On June 29, 2010, on her 17th birthday, Sobhy won the World Junior Squash Championships, thus becoming the first, and only, American winner of the prestigious event.

In 2013, Sobhy finished the 2012–2013 college season undefeated, having lost her first game to Trinity's number 1, Kanzy Emad El Defrawy.

Sobhy finished the 2014–2015 college season with a perfect record and won her fourth individual intercollegiate title, defeating Kanzy El Defrawy 3–1.

[19] She claimed her 14th tour title when she won the NetSuite Open in San Francisco in September 2015, sharing her reward with Ramy Ashour.

[29] Sobhy won the J Warren Young Memorial Texas Open in 2019, beating England's Victoria Lust in the final.

[33] In May 2023, she reached the quarter final of the 2023 PSA Women's World Squash Championship, before losing to number 3 seed Hania El Hammamy.

[35] In December 2024, Sobhy helped the United States win the silver medal at the 2024 Women's World Team Squash Championships.