To delete one of your profiles, go to My Profiles
and click the "Delete" link to the right of the appropriate profile name.
It is not possible to delete the profile associated with your main Yahoo ID on the My Profiles page. Profiles for your main Yahoo ID or your Yahoo Mail account can only be deleted by closing your account
and removing all of the information they contain. If you don't want any information displayed on the profile for your Yahoo ID or Mail account, simply remove all of the content in the profile.