To 'delete a profile', go to the 'Manage profiles' app
(Catalog > Profiles > Manage profiles)
A. Choosing the affected table
Select the profile table in which you wish to delete a profile. Next, click on the 'View Profiles' icon.
B. Selecting the profile(s)
You are now in the table in which you will be able to select the profile(s) that you want to delete. Click on the line(s) to be deleted, then click on the 'Delete' icon.
A 'pop-up' window will ask you to confirm the deletion.
If you confirm, the selected profiles will be deleted, with the aforementioned consequences.