Allowing Email Notifications Only for a Certain Account in Outlook

Permanently deleted user

To accomplish this you need to first disable notifications for all accounts by:

Then you need to enable desktop notifications for each account you want notifications for by creating a rule:

Under Home tab, click on Rules then click Manage Rules & Alerts...
Next to Apply changes to this folder:, select the account you DO want to receive notifications for
Click New Rule... button
Select Apply this to new messages I receive then click Next
Click Next again; if a message pop up, click Yes. You should be on the step where it asks "What do you want to do with the message?"
Check display a Desktop Alert
Click Finish; if a message pops up, click OK