Your Hotmail -- now Outlook.com -- email account is your Microsoft account. If you want to delete the account because of spam or any other reason, you must delete the entire Microsoft account and lose access to all Microsoft services.
Sign in to your Outlook account, click the gear icon next to your name and select Options from the drop-down menu to open the Outlook.com Options page.
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Click the Account Details link in the Managing Your Account section.
Select the Security and Privacy tab and then click the Manage Advanced Security link to open the Security Settings page.
Scroll to the bottom of the page and click the Close My Account link in the Closing Your Account.
Type your password again and click Sign In to confirm your identity, if necessary.
Click the Next button to continue, select the five check boxes and select any reason from the drop-down box. Click the Mark Account for Closure button to delete the Microsoft account.