She is remembered for her roles in Mozart's operas, especially Susanna (The Marriage of Figaro), Zerlina (Don Giovanni), and Blonde (Die Entführung aus dem Serail).
Brought up in a musical family, Møller was initially trained in singing by the opera singer Sophie Keller before joining the students of Royal Danish Theatre on the recommendation of the conductor Johan Svendsen, who appreciated her bright soprano voice.
After further study under the tenor Vittore Devilliers (1849-1932) in Paris, she embarked on the roles in Mozart's operas she would continue to perform until her retirement in 1926.
Møller made a number of recordings from 1904 to 1909, including a duet from The Magic Flute with Helge Nissen.
[1][4] Ida Møller died in the Copenhagen district of Frederiksberg on 10 August 1947 and is buried in Holmens Cemetery.