Hello,
It looks like palmar erythema and can be due to liver dysfunction, such as chronic liver disease, pregnancy, thyrotoxicosis and dermatoses such as eczema or psoriasis.
I suggest you to get it evaluated from a physician and get your liver function tests done. Also get eczema and psoriasis apart from contact dermatitis/ allergies ruled out.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your dermatologist. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.