Outlook

Hello PurpleSong,

Welcome to Apple Support Communities!

We want to help adjust your settings so you get notified about new mail messages.

Use the steps here to change your notification settings:

"Change new message notifications

1. In the Mail app  on your Mac, choose Mail > Settings, then click General. 
2. Do any of the following:

• Change new message sound: Click the “New message sound” pop-up menu, then choose a sound.
• Change the mailbox for new message notifications: Click the “New message notifications” pop-up menu, then choose a mailbox."

This Apple Support page has the full details and more steps to take: Manage notifications from Mail on Mac - Apple Support

We hope this helps so you can get a notification from Mail when you get a new message.

Cheers!