She became known as one of the first Azerbaijani musicians to perform mugham (an Azeri folk music genre) on piano. In 1919, Gayibova moved to Baku with her family. She was one of the founders of the Azerbaijan State Conservatory in 1920.
Gayibova's career took off as one of the first Azerbaijani musicians to perform mugham (an Azeri folk music genre) on piano. In 1919, she moved her family to Baku. She was a driving force behind the establishment of the Azerbaijan State Conservatory in 1920.