Davidsen joined AaB as a 12-year-old from partner club Gug Boldklub.
[1][2] At AaB, Davidsen worked his way up through the club's youth academy, and in August 2023 made his first-team debut when the 18-year-old midfielder was substituted in a Danish Cup match against Egen UI.
[1] During the winter of 2024, Davidsen played more in the first team, where he participated in several training matches.
[8] Davidsen made his Danish Superliga debut on 19 July 2024, when he was in the starting lineup in the season opener against FC Nordsjælland.
[9] A few days later, on 27 July 2024, Davidsen was rewarded with another contract extension, this time until June 2028.