Can you be more specific? Under File > Preferences > Email, what options are checked/unchecked? What options can you/can't you get into? Is Outlook set up as Corporate Workgroup? Etc.
When you block a person, they can no longer invite you to a private message or post to your profile wall. Replies and comments they make will be collapsed/hidden by default. Finally, you'll never receive email notifications about content they create or likes they designate for your content.
Note: if you proceed, you will no longer be following .