In the Public SyncTool menu line you will find the item Profile, Delete.
You can delete a profile with this (or the corresponding button):
You will be requested to confirm the deletion via the following dialogue box:
After a profile has been deleted, all links and profile synchronisation information are also deleted. The action cannot be reversed.
In the event you have unintentionally deleted a profile and now restore it, please keep in mind that this is now a new profile. Empty either the local or global folders to avoid creating duplicates.