If you have an iCloud account, you can delete it by going to the “Settings” app and clicking on " iCloud." Then, under " Accounts," click on the “Delete account” button. If you don’t have an iCloud account, you can also delete your email by going to the “Settings” app and clicking on “Mail.” Then, under " Accounts," click on the “Delete account” button.
Open up Settings, then scroll down to the bottom and select your name for “Apple ID, iCloud, iTunes & App Store.” Then choose iCloud from the drop-down menu. After that, turn off your email. This will remove the iCloud email from the Mail program. Take care!
Select the Apple ID option under My Account and click Delete Your Account. On the Manage Your Privacy screen, scroll down to the bottom of the screen and click Manage Your Privacy. To delete your account, select Request to Delete Account from the drop-down menu below.
Under the “Account” menu, choose “Edit.” Select your desired email and click “Continue.” In the section labeled “Reachable at,” click “Add more,” check the box for email, and type your new one.
You won’t be able to log out or delete an account if you don’t know the password. This is basic account security. As a result, you’ll have to reset the password as well as recover the account. The device is an iPhone 4 with iOS version 7.2 installed on it.
When you first create your Apple ID, you must link an email address to it. If you linked an iCloud email address to your Apple ID, this has been set as the primary email account and you can’t change it.