How to switch Windows Live ID to another account for the Xbox 360?

So i have 2 profiles, one i use all the time and the other sometimes. The one profile i use all the time is signed up with an email i dont use at what so ever, but i would like to switch the current email used on it to another email that i look at everyday. Unfortunatly the other profile i dont use as much is attached to the email i use everyday and i cant put my most used profile on it because of the other profie.

Is there someway i can completely delete the the other profile (the one i dont use)? I've tried switching the emails to another one but it wont let me? :l

?2013-07-30T15:57:50Z

http://support.xbox.com/en-US/billing-and-subscriptions/account-management/change-xbox-live-account-info