
Is that all discharge?
are those blisters?
it might be an allergic reaction caused by the lidocaine or something else
I agree, it’s most probably an allergic contact dermatitis. Do not use the product again. You can relieve the pain with cold compress or cold sitz bath and take antihistamine such as Benadryl. The symptoms can last a few days/weeks since you were already irritated and genitals skin takes longer to heal. Avoid tight clothing and panties. You should notify your doctor.
Also, did your doctor test you for yeast?