Hotmail provides option for closing an Email Account. If you are a Hotmail user and you are not planning to use the account in future then you can close your hotmail account using Hotmail Options.
To close a hotmail account, logon on to Hotmail account and click the Options link available on the right hand side.
Select More Options from the menu list and navigate to Manage your Account section. Under Manage your Account section, click the View and edit your personal information link. This would display the Account Overview screen. Navigate to Other Options section and click the Close Account link.
The following Close your Windows Live account screen would be displayed.
You need to Verify your identify before continuing with Closing the Account. This can be done using the section provided at the bottom of the page.
Important: To delete personal information you have given to Windows Live or other Microsoft services, or any other site where you use this sign-in name, sign in to those sites and delete the information before you close your account. You will not be able to access those sites after your account is closed. (Windows Live)