[2] Gyldenkilde became part of Denmark's Scouting Association, running a branch of it in 1973 and 1974.
She became a member of the party out of Horsens, which led to her being nominated to the Folketing in 1977 via a leveling seat.
During her time on the Folketing, she served on the Labor Market Committee and was a major supporter of unemployment benefits and opponent of the minimum pension.
She received 119,449 votes and won a spot as the lone representative of the Socialist People's Party, allying herself with the European United Left–Nordic Green Left.
[2] In 1996, Gyldenkilde was forced out of the European Parliament due to a battle with cancer; she died from it seven years later in 2003.