I'm sure that dealing with unwanted facial hair is very stressful for your both you and your daughter. Kids can be very cruel to other kids that don't look or act like they do, and I'm sorry that she has to deal with teasing at such a young age.
To get rid of facial hair, some would suggest using common methods such as plucking or waxing. However, for the safest and most effective way, I would advise you to talk to your daughter's pediatrician before attempting any home hair removal techniques.
Good luck and take care!
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