Managing personal Outlook.com account settings, security, and privacy
Hi there! This is Raech. I'm an Outlook.com user like you and I'm deeply sorry to hear about the issue you are having.
Just so there is no misunderstanding, this forum is dedicated to Outlook.com users. None of us here work for Microsoft or has access to any user's account.
With that said, if the Hotmail.com account being used to access your Facebook isn't yours, I'm afraid this forum isn't going to be of much help.
I would recommend contacting the Facebook support directly to resolve the issue.
Sincerely,
Raech C.