Anne Minter won USD$682,839 in prize money throughout her career; her singles ranking peaked at No.23 in July 1988. She won four WTA singles titles: Taipei and Singapore 1987; Puerto Rico 1988 and Taipei 1989.

Minter was a quarterfinalist at Australian Open 1988, beating fourth seed Pam Shriver in the R16 when the tournament moved to the hardcourt surface at Melbourne Park.

She twice reached the R16 at Wimbledon, upsetting ninth seed Hana Mandlikova in the third round in 1988. In Fed Cup, she compiled a 20-6 win–loss record, helping Australia reach the final in 1984 where they lost to Czechoslovakia.