Whenever an email "bounces" because of an incorrect email address, you'll often receive an "undeliverable email" message in your inbox from the contact's email server. If you're seeing too many of these and would prefer to avoid them, you can set up a simple rule, or filter, that will either send them to your trash can or a separate folder. Here's how to set up this rule:
If You're Using Outlook:
Click here for the tutorial from this friendly blogger
If You're Using Gmail, Here's How:
1. Go to your Settings page
2. Select the Filters and Blocked Addresses tab and then scroll to the bottom of the page and click Create a New Filter
3. In the Subject, type the word Undeliverable and then click Create Filter With This Search
4. In the list of options, we suggest choosing Skip The Inbox (Archive It). If you'd simply like all of these types of emails to be deleted and you don't need a record of them, then you could choose Delete It.
5. Click Create Filter. You're done!