Where are you trying to use your iCloud e-mail address? If in a 3rd party app/application, you need an app specific password.
Apple ID -Two-factor authentication
Two Factor Authentification availability
Where are you trying to use your iCloud e-mail address? If in a 3rd party app/application, you need an app specific password.
Apple ID -Two-factor authentication
Two Factor Authentification availability
Apparently my iCloud email password is different than my Apple ID password.
This would suggest you have 2 Apple IDs. You manage their passwords separately, using the same steps.
iCloud email password