Her best performance in a Grand Slam singles tournament was runner-up at the 1983 Australian Open, where she lost to Martina Navratilova in straight sets.. She was the first player to defeat Chris Evert before the semifinals of a Grand Slam singles tournament.

In women's doubles, Jordan won five Grand Slam titles, four of which were in partnership with Anne Smith.

In the Wimbledon final on July 6, 1985, Jordan and Elizabeth Smylie teamed to snap the 109-match winning streak of Navratilova and Pam Shriver by defeating them in three sets.

In mixed doubles, Jordan won two Grand Slam titles, 1986 French Open and 1986 Wimbledon, both of which were in partnership with Ken Flach.

In 2002, Jordan was presented with a Mentor Award by Martina Navratilova, on behalf of the WTA Tour, in recognition of her contribution to the Partners for Success program and to the sport of tennis at large.