Hello,
I apologize for the late reply. When you open an email from someone we recognize on Facebook or Twitter, we show you their public name and profile picture from Facebook or Twitter and might suggest that you friend them on Facebook or follow them on Twitter. For Facebook, we can recognize a profile for any email that is associated with a publicly searchable account. We’re able to recognize people on Twitter when they’ve associated their Twitter account with an email address from a Microsoft service (@live.com, for example), and their Twitter settings allow their account to be found by that email address.
It could be that somebody (has a name like yours) has registered account in Facebook and was detected by Outlook.com and recognize the relationship because you have the same name.
If you think that this somebody is using your name or impersonating you, please contact Facebook support to settle the issue.
Thank you.