Can a break be ruled out just by an exam (no x-ray)?

even if the tiniest most un important bone broke in her hand, if she can use all fingers and squeeze something hard, or make a fist and have full rotation and movement of her hand, then there is no way she broke it. You still might want to wrap it up or get a hand brace for her, as it might be sore for a while. Relax, go celebrate that your daughter is fine and you don't have to spend a ton of money.