Click on the Profiles option on the left-hand side of the screen, then click on and select the Vendor Profile you wish to Delete from your list.
The next page that will open up is the Profile Outline. In the upper right-hand corner will be the Details page tab. Click on that tab and then the Delete button off to the right of that page.
Lastly, a pop-up window will appear just making sure you're taking the correct action. Confirm that you want to Delete the Profile.