Busch was a daughter of a German businessman. The family moved from Milano from Harlem, Netherlands to Garmisch-Partenkirchen, Bavaria, Germany. She began skating at age four and a half years. She took ballet classes in Garmisch-Partenkirchen and was regularly coached in London. Her coach was Thea Frenssen.
In 1954 Busch became World champion. She finished her amateur skating career and took an offer of the ice revue Hollywood Ice Revue. In 1955 she married a Swedish professional ice hockey player Lill-Lulle Johansson. They moved with their son Peter Lulle Johansson to Stockholm, Sweden. Busch later worked there during many years as a figure skating coach, but retired from coaching in 1997. She died unexpectedly in Stockholm after a prolonged illness at Saint Göran Hospital January 31, 2014.