It is important to determine whether this is the beginning of a hypertrophic scarring process or simple allergic dermatitis. Also, do you have any fever blisters anywhere?
Skin undergoing deeper peels must be watched very closely for reddish raised spider web type changes that could convert to superficial scars. But, we have no photo and certainly cannot examine you. We don't know what kind of skin you have; and we don't know what your "medium plus chemical peel" really was; phenol, TCA, percentages, additives, etc.?
Allergic dermatitis requires treatment also, but again, that cannot be diagnosed with absolute certainty over the Internet.
Deeper peels are the ones that usually need close evaluation for the potential scarring. Having said that, even TCA peels over 35% (considered medium by many) can cause some real problems in certain patients.
It is very easy to second guess other doctors, so none of the Internet answers are going to be good enough in my opinion. Hopefully your doctor is a trained expert in peeling. Talk to him/her. If you seek a second opinion, find someone with extensive training and experience in peeling. A diploma, board certification, etc. does not guarantee your doctor had extensive residency or fellowship training in peeling.