As I was attempting to update my email address in a WordPress blog, it was stuck. A notification said:
There is a pending change of the admin email to firstname.lastname@example.org
But that was it. It would never go through.
It turns out that you can change it with the WordPress secret admin page. Go to https://your-wp-domain.com/wp-admin/options.php. Every option will be listed out with an editable field. At the bottom is a save button. For some reason, that approach saved my new email address.
Update 2019/10/22: It turned out that my problem was changing my email address for the user account. For some reason, it did not like the domain that I was using. Upon trying a different email address, it sent a confirmation and updated the email address. So, while I can say that the options.php page did update the email address in one place, it did not update my user account email address.