Mühle studied at the Academy of Music from 1961 and first appeared as concert and orator singers.
She worked at the Folkoperan from 1981, and made her breakthrough the following year in the title role of Carmen. She sang Suzuki in Madama Butterfly, the main role of Simson and Delila and Amneris in Aida. In 1986-1988 she was involved in the Kent Opera in England.
Mühle also participated in musicals such as Barfotaliv and the Man of La Mancha. The last role was Zeta in Daniel Börtz Backants at the Royal Opera in 1991, which appeared as a film in 1993.