GMail

Your email@example.com email account can be added to an existing gmail account using the following steps.

Within the GMail App, tap on your account icon
Scroll to the end of the list and tap "Add another account"
Add an IMAP account
email@example.com
Enter your new email address
email@example.com********mail.emessage.email
The default port and security type are fine
email@example.com********mail.emessage.email
The port and security type have changed from the default
Jane Doe

And you are done.