Well, it kind of depends. Most everyone will have an accident of some sort, but not all of them are that bad. Plus, it's not all the horses fault. Did he have a reason to kick her? Did she forget to talk to him as she walked into his blind spot? Most horses, especially lesson horses, and older, more experienced ones, won't kick or spaz out. Any horse can, but these types are less likely. Plus, if your daughter always talks to the horse and doesn't startle him or anything, that will take down the chances. Walking into a blind spot and then touching a horse's rump got me kicked, and it was completely my fault. I wasn't thinking, I just assumed the horse knew I was back there. So yeah, I wouldn't worry tons about it. Just make sure your daughter knows how to be safe around horses.
All mothers worry. Period. It's scary to watch kids ride, and it's even scarier to watch them fall. She will fall. Everyone falls. But she will probably just laugh and get back in the saddle. Kids are more resilient than adults think. haha.
Plus, you always hear those types of stories. Probably because, what kind of tale would it make if nothing happened? You never hear a person tell you about this horrible story in which!!!!!!! -- "Oh Yeah, sally had a perfect experience. She didn't even fall. The end."
Lol see? I know, you're going to worry anyway, but chances are, if your daughter is a safe horseperson, she won't have an awful injury.
Good luck with horses! Sounds like she's going to be a little horsewoman. =)
To rein a horse is not only to guide him,
but also to control his every movement.