Anker studied music at the Copenhagen University from 1980 to 1984. In 1988, she formed a quartet with piano player Mette Petersen, (the Lotte Anker / Mette Petersen Quartet). In 1992, they added trumpeter Nils Petter Molvær. In 1995, she became a member of the free improvising trio Anker, Friis, Poulsen with Hasse Poulsen on guitar and Peter Friis Nielsen on bass.
Since 1996, Anker and Ture Larsen have been co-leaders of the 12-piece orchestra Copenhagen Art Ensemble.[1] She recorded the albums Triptych, Live at the Loft and Floating Islands with pianist Craig Taborn, and drummer Gerald Cleaver.[2][3][4]