Skin redness after chemical peel. How long will it take to heal? Is there anything I can do to heal it faster?

I applied Marie France Oil (Lactic acid + Citric acid) on my thighs and knees. The skin peeled off but left redness. The redness has faded to pink over 3 weeks but it is still there. I showed it to a dermatologist and she said it will fade completely over 3-6 months, and I should keep applying hydrocortisone and moisturizer. Any insight into how long will it take to heal and if there is anything I can do heal it faster? Also, can there be any permanent redness? If yes, what can I do about it?