Madsen was born in Varde, Denmark. She started to play soccer when she was around five years old, but never dreamed of ever becoming a professional player.[4] Madsen grew up in a 'sporty' family, where multiple of her family members participated in sports at fairly high levels.[5]
On May 14, 2023, Madsen notched her first NWSL assist with a pass to Tyler Lussi, who proceeded to score a goal. Madsen's assist helped the Courage triumph over the OL Reign with a 1-0 victory.[12][13]
Madsen scored her first goal with the Courage on May 27, 2023. In the 53rd minute of a match against Racing Louisville FC, Madsen placed a header into the back of the net, contributing to a 2-1 win over the home team.[14][15]
On November 20, 2023, the Courage announced that Madsen was offered a new contract by the club.[16] On January 10, 2024, the Courage announced that Madsen would not be returning to the team for the 2024 NWSL season.[17]
Melbourne Victory (loan), 2022-2023
On December 17, 2022, Melbourne Victory announced the signing of Madsen on loan from the Courage. Madsen joined as an injury replacement player for American forward Catherine Zimmerman, who had sustained a fractured fibula.[18]
Madsen made her club debut for the Victory on December 17, 2022, in a match against the Newcastle Jets. She entered the game as a substitute and helped the Victory achieve a 5-2 win over their competitors.[19]
Catherine Zimmerman's return from her fibula fracture concluded Madsen's injury replacement loan.[20] Madsen returned to the Courage on February 2, 2023.[21] In her time with the Victory, Madsen had appeared for the club 7 times and scored 1 goal.
Everton, 2024–present
On January 13, 2024, Women's Super League club Everton announced the signing of Madsen on a contract lasting until June 2025.[22] At the time, Madsen became the sixth Danish member of Everton's roster.[23][24][25]
Madsen made her first appearance for the club on January 13, 2024, the same day she was signed. Madsen was brought off the bench as a second-half substitute in a 3-0 victory over Aston Villa, helping the team reach the fifth round of the FA Women's League Cup.[26][27]
On May 24, 2024, Madsen announced she was pregnant with her first child,[28] rendering her unavailable for the foreseeable future.[29][30]