In 1965, Brüel entered the Danish Eurovision selection, Dansk Melodi Grand Prix, which she won with the song "For din skyld" ("For Your Sake"). She represented Denmark at the tenth Eurovision Song Contest, held on 20 March in Naples, where "For dyn skyld" finished in seventh place of the 18 entries. Oddly, the song was voted for by only two other countries, Sweden and Luxembourg, but both had awarded the maximum five points, giving it a relatively high placing.