I have an AVM of the lip, that was operated last year. I'm so sorry that your daughter has a serious health problem at only 7 year old. Making those decisions is very difficult -- no one can tell the future -- but I'm confident that in time you'll find out what is best for your child. Only don't forget that it's normal to be scary of a surgery such as craniotomy. Have you discussed with the doctors who would operate about all what makes you anxious?
I don't know much about AVMs of the brain. Since you've been on Internet, maybe you know www.angiomaalliance.org?
I wish I could help you more. Take good care of you.
Lise in Montreal