I think you should just keep reading, reading, reading. Here, articles, and so on. Once I started to do that, I realized that Aspergers absolutely fit my son. It's a way of thinking and interpreting the world more than anything. It isn't always obvious. And it comes with gifts to offset the burdens, so it isn't a negative sentence at all; not nearly as scary as common publicity would make it seem.
I only have a school diagnosis for my son, and I am happy with that. Once we have a medical diagnosis, it will become something that he cannot someday choose to let go of. This way, he can. He can keep it, or discard it, whatever works best for him.
For my son, having the school work with him on the assumption that he has Aspergers has been a blessing. He gets accomodations for his difficulties that allow his strengths to shine all the more brightly. He became much happier in school once he started receiving services. He gets more leeway to be himself from teachers; he gets more defense if other kids are rough to him; he gets more encouragement to follow his unique inspirations.
My son has a lot of difficulty writing, btw. Your daughter could have roadblocks that keep her from wanting to communicate that way. Writing is a multi-task process, and can be difficult for certain Aspies. Which is fine while a child is young and can get away with memorizing and reciting; but what happens when the work load exceeds memory? Or when the only way a teacher will accept work is in writing? My son has an IEP plan for all of this.
Ultimately, a label is worth no more or less than what it can accomplish for your child. If the label will help your daughter be a happier and more successful student, great. If not, dump it.
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Mom to an amazing young adult AS son, plus an also amazing non-AS daughter. Most likely part of the "Broader Autism Phenotype" (some traits).