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.

[1] The same year she set three European records, in the 200 m and 400 m freestyle and 4 × 100 m medley relay.

[1] Their son, Willem Wouter Gerritse, is also a water polo player.