| Full Name: | Anthonia Marie Rijnders |
| Birth Date: | 23 August 1956 |
| Birth Place: | Amersfoort, the Netherlands |
| Sport: | Swimming--> |
| Club: | AZ&PC, Amersfoort |
| Show-Medals: | yes |
Anthonia Marie "Anke" Rijnders (born 23 August 1956) is a former butterfly and freestyle swimmer from the Netherlands, who competed for her native country at the 1972 Summer Olympics. As a member of the Dutch relay teams she finished in fifth place, both in the 4 × 100 m medley and the 4 × 100 m freestyle. On her personal starts, Rijnders finished in seventh (200 m freestyle) and eighth (400 m freestyle) place.
The same year she set three European records, in the 200 m and 400 m freestyle and 4 × 100 m medley relay.
She married the water polo player Wouter Gerritse and changed her last name to Gerritse. Their son, Willem Wouter Gerritse, is also a water polo player.