Hello eyethstudios

Thank you for your purchase.

If I understood you correctly, you don't want them to receive any notifications until you approve the appointment, correct?

If that is true, you should simply disable the "Appointment Pending" notification.

Hi again eyethstudios

We do not provide support for Google Calendar notifications, and I believe there are settings in Google Calendar where you can enable or disable sending email notifications.

As for Amelia Notifications, there is only one setting where you configure notifications, and if you're using SMTP, and it's not working it is usually caused by one of three things:

1. Your hosting provider is not allowing any SMTP settings other than their own
2. The PHP version on your server is less than v7
3. You have a security plugin, or some server config that is blocking the emails from being sent

If you check all three points, and you still can't resolve the issue, I'll need to remote in and take a look to see what's going on.

For that, I'll need you to provide me a temporary WP-admin login for your site where this happens, so we could log in and take a look ‘from the inside’ as that’s the most efficient way to see and resolve the issue. We do not interfere with any data or anything else except for the plugin (in case that’s a production version of the site), and of course we do not provide login data to third party. 

You can write credentials here just check Private Reply so nobody can see them except us.