Is it safe for me to have a chemical peel with Kojic acid if I had an allergic reaction to a Kojic acid soap?

I am trying to determine if getting a chemical peel would be best suited for me or if I should just use a different Kojic acid then the one I used... You see, I used Kojic acid soap called Kojie San, and I eventually ended up with an allergic reaction where my skin even marbled. But I have heard that fermented rice water sake lotions from Japan are different/safer from the Kojic in soaps, is that true?? I am hesitant to try anything Kojic now also I am allergic to Penicillin and Koji is a mold.