CRM show pending email warnings when there are pending emails. For some reason you have created an email message, tried to send it but it never got sent and is stuck in pending. To get rid of these annoying warnings, I have found two methods mentioned below.
Method 1) Using Advance Find
Do an advanced find and search for email messages where you are the owner and the status is Pending Send.
Now, select all emails find in search and delete or deactivate.
Method 2) By Modifying Registry Key
Remove Pending Email Warning using registry key
Remember this will stop the pending email warning for all organisations deployed on the CRM server.
If you are in a production environment you need to find out why emails are not being sent, is it because the email router has stopped working or a the Outlook plugin has stopped working/disabled.
Source: Hosk's Dynamic Blog
#AW
Ali Wadood
Dynamics CRM Consultant