I say absolutly not. I would put some in a small bottle and tell her to use that shampoo on your baby. I would hope that would not make her mad! This is the shampoo that your baby's skin is used to. It's really not a big deal. If she says no than take your dog and find another groomer! Good luck. Update us as to how yor baby did. We would love to see a picture of your baby with a new haircut. Good luck!
