Hello,
I logged into my microsoft profile on edge on a different pc and then I logged out and deleted my account in settings. After that my account was still visible in edge and when I clicked my profile it logged in without asking me for password.
The only solution was to change my password. After that it started to ask for my password when I try to log in on edge on the pc.
In my opinion it shouldn't work like that. Please change that as fast as possible.
Kind regards
Damian Gierek