*Club domestic league appearances and goals, correct as of 21:18, 16 May 2017 (UTC) ‡ National team caps and goals, correct as of 21:18, 16 May 2017 (UTC)
Rasmussen represented Fortuna Hjørring in both legs of the 2003 UEFA Women's Cup Final, a 1–7 aggregate defeat to Umeå IK of Sweden. After 125 appearances for Fortuna, Rasmussen signed a contract with Umeå IK ahead of the Swedish 2008 season.[3]
She signed with Kristianstads DFF in August 2011.[4] Rasmussen moved to league champions Linköpings FC ahead of the 2017 season, but suffered a serious knee injury shortly afterwards.[5]