A child prodigy, Bor was a recitalist during the 1920s and 1930s. She performed with the Griller Quartet, the Amadeus and the Kantrovich Trio, and was a regular broadcaster for the BBC.
Two of her pianist contemporaries were Eileen Joyce, and Myra Hess, who organised the wartime concerts at the National Gallery. Bor created her own series of lunchtime concerts at London's Royal Exchange.
After World War II she became a piano teacher. Her pupils included Prince Charles and Princess Anne.