She achieved her best singles result at Wimbledon in 1962 when she reached the fourth round, losing to second-seeded Darlene Hard.

[2] She reached the semifinals at the 1964 French Championships, where she lost in three sets to top-seeded and eventual champion Margaret Smith.

In 1964, Schultz and her teammate Norma Baylon reached the doubles final at the 1964 French Championships, losing to Margaret Smith and Lesley Turner.

From 1964 to 1974, she participated in the German Fed Cup team and compiled a 14–11 win–loss record.

In 1970, she received the Silbernes Lorbeerblatt (Silver Laurel Leaf), the highest sports award in Germany.