[4][5] Her father was an immigrant from Rohrbach near Furtwangen in the Black Forest, Germany, who trained as a clockmaker, but was best known as an organ builder in London and part of the partnership Imhof & Mukle.

[10] She was a member of Rosabel Watson's Aeolian Ladies' Orchestra, and of the all-women English Ensemble, with violinist Marjorie Hayward, violist Rebecca Clarke, and pianist Kathleen Long.

[11] With her pianist sister, Anne Mukle, she was a member of the Maud Powell Trio, which toured South Africa and America.

She founded the Mainly Musicians Club in a basement in London; during World War II, she converted it into a air raid shelter.

"[14] Mukle broke her wrist in a car accident in 1959, at age 79, but resumed playing after it healed,[5] performing in North Carolina in 1960.