During her career, Reynolds won the women's doubles title at the French Open in 1983 (partnering Rosalyn Fairbank). She was also a women's doubles runner-up at the Australian Open in 1980 (partnering Ann Kiyomura), and at the French Open in 1981 (partnering Paula Smith).
Reynolds' career high world rankings were World No. 50 in singles (in 1983) and World No. 24 in doubles (in 1986). Her best singles performance at a Grand Slam event came at the Australian Open in 1980, where she reached the quarter-finals.