H.H.
Hi S.,
I am a school psychologist and it is NOT normal for your child (or any child) to bite themselves when they are stressed (or otherwise). You daughter is trying to deal with stress and she's not sure how to do that. Having her talk to the school counselor will help her deal with her stress in a more efficient manner and help her learn to recognize signs of stress or situations that will cause stress for her so she can deal with it before it gets worse. If she doesn't learn to deal with it now, it will likely continue into adulthood and she'll still be struggling to learn to deal with it and may find other outlets (i.e., cutting). That is a lot of changes for an adult to handle let alone a child.
I'm also concerned about your husband's reaction to the situation. If I were you, I would sit down with him to find out why he's so against this. Maybe he had a bad experience in school, maybe he has similar stress or anxiety issues, or maybe it's his perception of the school counselor and what that means for his child. If possible go to the school counselor together so that she/he can talk to you about what is considered "normal" what she can do to help, and what you can do at home. This may help your husband if he's able to ask questions of the counselor and/or see her office so it's not considered that there is something "wrong" with him as a parent or with his child and that the counselor isn't there to judge you. If he's not open to this I would consider getting information from the counselor about cases such as your daughters and handouts on how to help her. This may also help to explain to your husband that this is NOT normal and that she needs help before it gets worse. Is her behavior/stress affecting her academically? You may want to meet with the school counselor and teacher to discuss what can be done to help her in the classroom as well (i.e., breaks to calm herself when stressed, chances to ask questions when she's feeling stress about an assignment etc). Hope this helps and if you have any other questions just send me a message.