Can I delete my iCloud email account?
It seems to be impossible to get rid of this account.
What I've done is:
Connect to my iCloud account (with my Apple ID, the same for the App Store and others).
Go to Mail.
In
Preferences
(top right), chooserules…
Add a rule to redirect all emails received at my @me.com address to my main email.
It can take several minutes to work, but I don't lose anything like that.