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), choose rules…

  • 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.