Anne Marie Vessel Schlüter (born 1 May 1949) is a Danish ballet dancer who joined the Royal Danish Ballet in 1965. After retiring from the stage in 1988, she headed the Royal Danish Theatre's ballet school until 2006, maintaining the traditional Danish style of August Bournonville. In 1989 she married Poul Schlüter who served as Prime Minister of Denmark from 1982 to 1993.