Born in Nottingham on 19 January 1999, Skovsen moved to Juventus in the summer of 2020. A full-back, Lundorf honed her talent in Denmark with IK Skovbakken (now known as VSK Aarhus) before joining the youth academy at PSG, in France. Her senior debut followed back at IK Skovbakken, after which she joined English side Brighton & Hove Albion.