When creating an email subscription, after adding a recipient to the "Personal List", user cannot remove the recipient directly in the Recipients Browser window.
However, there are 2 ways to accomplish this task:
1) In Web, go to Menu > Preferences > User Preferences > Email Addresses and remove the recipient from the list.
2) In Desktop, edit the user that created the subscription, go to Deliveries > Addresses and remove the desired address from the list.