Thank you Jacob!
I made the change:
This address is used for admin purposes. If you change this we will send you an email at your new address to confirm it. The new address will not become active until confirmed.
There is a pending change of the admin email to admin@mywebsite.com. Cancel
But I did not get an email to the new address asking me to confirm and it is still pending. Am I just impatient or is this an indication it is not working?