Your GP is sending you for an appt. with a Consultant who knows more about issues than she does! So if he suggest something, he will write to her. You then go along and discuss
. If you see a private Consultant, he/she may be the same as in the NHS, it may well be in the same Hospital!
You could ring the Surgery and ask your GP to refer you to a dermatologist unless she knows that this particular Consultant has knowledge. You can look up the Consultant at the Hospital, most have web-sites these days with Staff details.