Every WordPress install has an administrative email address for the site. This user receives things like new user notifications and similar. This email address can be changed under Settings > General in the WordPress admin. Recently, WordPress made a change requiring the new email address be confirmed in order to take effect. However, there is a workaround.
WordPress has a hidden Options panel accessible at /wp-admin/options.php of your WordPress install. This page has a lot of options relating to your site but the two to pay attention to here are admin_email and new_admin_email.
The admin_email field gets updated when you make the email change under Settings > General. The new_admin_email field does not get updated until the email confirmation happens. By changing both values via the options.php page, the change immediately takes effect.
I’ve also made a quick YouTube tutorial walkthrough through this process.