Su-wei Hsieh was introduced to tennis by father at age 5. Played first professional tournament at ITF level in New Zealand in 2001 and started her career by winning her first 33 matches (mix of ITF and tour level).
In 2008, at Australian Open, she clinched the round 16 as a qualifier, losing to Justine Henin. It remained her best singles major results since 2018, when she equaled that run losing to Kerber.
In 2012, Hsieh won her first two singles titles in Kuala Lumpur (as qualifier, d. Martic in F) and Guangzhou (d. Robson in F). She was just the second player from Chinese Taipei to win a tour-level singles title after Wang Shi-Ting who won six titles in 1990s. At the end of the season, she qualified for 2012 Tournament of Champions-Sofia (went 1-2 in round robin play).
In 2013 Hsieh recorded career-high singles ranking of No.23 on February 25 and won the maiden Grand Slam doubles title, with Shuai Peng at Wimbledon (d. Barty/Dellacqua in final). That season she qualified for the first time for the WTA Finals in doubles, emerging as champions (d.Makarova/Vesnina in final).
In 2014, Hsieh and Peng won the Roland Garros doubles title (d.Errani/Vinci) and finished as runners-up at the WTA Finals (l. Black/Mirza in F). Hsieh became first player from Chinese Taipei (male or female) to achieve the WTA World No.1 doubles ranking on May 12, 2014 and held the top spot for five non-consecutive weeks.
In 2015 she finished as No.107 as she reached the semifinals in Kuala Lumpur (l. to Wozniacki) and the quarterfinals at Tokyo [Japan Open].
2016 season highlights included a semifinals run at Kaohsiung (l. Doi) and the quarterfinals showing at Prague (l. eventual champion Safarova). She ended 2016 by winning 27th singles title on the ITF Circuit at $100K in Dubai.
Hsieh posted her second successive Top 100 rankings finish in 2017, at No.97, and the fifth Top 100 singles season of career. That year, she reached the quarter-finals in Nanchang (l. Y.Wang) and concluded the year with runner-up effort at WTA 125K Series event in Hua Hin, Thailand (l. Bencic). In 2017 Hsieh claimed also their second Top 20 win defeating No.8 Konta at Roland Garros and reached 20 tour-level doubles titles, having won in Biel (w/Niculescu) and Budapest (w/Kalashnikova).
In 2018, Hsieh completed her second top-30 season, and the first since 2012, at No.28. The highlight of the season was clinching her third career title in Hiroshima to maintain a perfect record in title rounds, having won in both Kuala Lumpur and Guangzhou in 2012. Beating Anisimova, she came back to the top-30 for the first time since February 2013.
She opened the season with a semifinal run in Auckland (l. eventual champion Goerges), then she matched her best Grand Slam result by reaching the round-16 at Australian Open (d. No.3 Muguruza in the second-round, l. Kerber). After a third-round exit in Miami and a second-round showing in Indian Wells, the highlights of her clay court season were the runs to the semifinal in Rabat (l. eventual champion Mertens) and the quarterfinal in Strasbourg (l. Buzarnescu).
She fell at the first round at Roland Garros (l. Peterson) but at Wimbledon she created one of the biggest shocks of the season. She defeated Pavlyuchenkova, Arruabarrena and upset No.1 Halep to seal her first ever victory over a reigning World No.1, the third top-10 victory of her career, all three coming in Slams. She reached the round-16 but lost to Cibulkova that beat her also in the second round at Us Open. However, she set a new career-high for Grand Slam match wins in a single season (7): her previous best was 5 in 2008.
During the Asian Swing, she also reached the last-4 in Seoul and Tianjin to make five WTA semifinals throughout the season.