Violence won't solve anything either! We had this happen at my junior school (not sure how it would compare to here-I was maybe 5 years old-second year of school). A kid in class got real ticked at another kid. Reached over and stabbed him in the head with a pencil, which snapped off a little above the wound, in the kid's head. Blood EVERYWHERE. The injury was fairly superficial, the pencil had embedded under the scalp but I am not sure about the skull-they must have figured a five year old didn't need to know that
He was back in school the next day.
Anyway, I hope your daughter figures things out. It is unfortunately a common perception that home schoolers cannot handle themselves in a social setting. Amongst my friends there are many homeschoolers and my experience is of a well balanced group of young people who are way ahead of the curve.
We start homeschool in about two years, and I am already waiting on the objections from family