You cannot delete your account yourself, and there’s no info on how to have it done manually either, so try this:
Contact them using the contact form found here: http://www.foodnetwork.com/contact-us/package/index.html
Briefly explain that you would like to cancel your account. Include your account details (username, email address you used for signing up).
URLS:
http://foodnetwork.com
Please note that AccountKiller.com is not associated with the business listed on this page. AccountKiller provides easy-to-understand instructions and guides on how to cancel charges and relationships from the list of businesses on our site, we have no affiliation with these businesses.