I have had many skin biopsies because I had a pre-melanoma some years ago.

I developed an allergy to the Neosporin and other topical antibiotics, and the bandaids.
They caused more problems than the original biopsy. And scaring.

So from then on, I can only use aquaphor and latex free bandaids.
If I must use Neosporin, I can only use it for a short period of time.

I have delicate and sensitive Irish skin, like I think you may have.

Check with your doctor or send them a picture.
They should know right away what the problem is.

Of course it could be something else entirely, so contact them.

And remember you can become allergic to something that did not used to bother you.