Thanks for choosing health care magic for posting your query.
I have gone through your question in detail and I can understand what you are going through.
Lactic acid may not be a good option over genital areas. You should always show the lesion to a dermatologist
before applying medical creams over sensitive areas. If needed you may consider applying lacto calamine
lotion over the area.
Hope I am able to answer your concerns.
If you have any further query, I would be glad to help you.
In future if you wish to contact me directly, you can use the below mentioned link:
Wish you good health,
Dr. Srikanth Reddy M.D.