Has anyone experienced peeling/redness with hydroquinone?

I applied 8% hydroquinone Rx about 2-3x max to the inner side of my arm to help with some dark patches. However the area I applied it to began to peel, so I peeled off the dead skin but now the remaining area is persistently red and shiny! I still see the borders of the dead skin surrounding the redness. Will this go away soon or is it permanent?

I just wanted to lighten up a few patches and I feel like I ruined my skin. My dermatologist isn’t available for a while. I don’t know if this is a chemical burn or some type of contact dermatitis or something else?