Tried getting an appointment in Denmark. “We don’t take any new patients”. A familiar story when trying to reach many specialists in European countries (Germany, Belgium). Except I doubt they’re getting 500k.
At least in Switzerland it's like this: if you call directly the dermatologist (or just any medical specialist), they offer you a slot in 6 months. If you go over your house doctor (whatever the term is in your country) you get it in 1-2 weeks. If you are already known patient to said dermatologist, maybe even earlier. Thus: how about you try your house doctor?