Myhre represented (Germany) in the Eurovision Song Contest 1968 with the song "Ein Hoch der Liebe" where she placed sixth. It would be another fifteen years before she attempted Eurovision again and did so via the German national heat, singing "Wir beide gegen den Wind" with her son. In the same year (1983) she was one of Jahn Teigen's chorus girls in the Norwegian final. When Teigen won, the potential prospect of singing both for Norway and for Germany became too much and she was replaced by Anita Skorgan in the international final in Munich. In 1992 she took the third place in the Norwegian selection with "Du skal få din dag i morgen". She participated in the Norwegian selection again for the Eurovision Song Contest 2009 in Moscow, Russia. Wencke performed the song "Alt har en mening nå" in the second semi-final on Saturday 31 January, but she was eliminated from the competition.