This link is different from the Live/Hotmail removal link, so check what you’re doing. By using this link, your compete account will be removed. If you wish to only terminate the e-mail account, look for Hotmail / Live on this site.
Direct removal link: https://account.live.com/CloseAccount.aspx
Helpful Trick: Removing online data
If you can’t find any contact info and still wish to ask something, for example a question about what exactly is removed, about data retention, etc., you may contact the domain owners using this info.