Watch burned my skin

It is completely irrelevant what anyone else did, or what their doctor might have said. Every case is different, every human is slightly different. The best a advice (and I think you already know this) is to stop wearing the watch until you have a solution, and consult your doctor to start finding a solution. You and your doctor might find the list of potential skin sensitively issues useful in Wearing your Apple Watch - Apple Support

I've had this happen before to a milder extent, and cleaning the watch seemed to do the trick. Keep in mind that receiving a thermal burn from an iWatch is an extremely rare occurrence. To me that looks like mild contact dermatitis, which has been reported before by some wearers. Your doctor/dermatologist would need to confirm what it is, especially if it persists or worsens. Contact dermatitis isn't uncommon if someone wears their watch too tightly, loose, or if they do not clean the watch regularly. I don't even wear mine in the shower, since moisture can get trapped beneath, and I easily get dyshidrotic eczema from that sort of thing. Sometimes irritation can be from a nickel allergy caused from traces within the metal.

Without knowing how frequently your watch surface is cleaned, frequency of wear, and such, I don't want to give advice based off of assumption. If it were me personally, I'd try cleaning my watch (I use Zeiss lens wipes) & moisturizing the skin regularly, since dry skin can worsen dermatitis and make your skin more susceptible to injury overall. But if the skin is very painful, or if you literally feel the watch heating up beyond what feels normal, I wouldn't wear it again and take the issue up with Apple as you already have been trying to do.

Hi I have been having the same problems did you get sorted

What did your doctor say?