Would it be faster to go to a dermatologist right away to get soothing treatment or a prescription?

My skin hasn't usually been very sensitive, but recently my entire face started turning red and bumpy blemishes began to appear. It is itchy and even feels slightly stinging, so I am incredibly stressed every time I look in the mirror. I'm not sure if it's time to change my skincare products, or if I have developed contact dermatitis due to a weakened immune system. Even applying a supposedly mild moisturizing cream makes my skin burn, so right now I'm afraid to even try any home care routines.

I have an important appointment coming up soon, but my skin is in such a state that I can't even cover it up with makeup, which is really frustrating. In a situation like this, would it be better to just wait a few days and stop using all cosmetics, or would it be faster to go to a dermatologist right away for soothing treatment or a prescription?