What everyone else said. For this horse, great skill is needed to sort out the issue & stay safe & keep horse safe, all at the same time. Every time someone flees the horse's antics, the horse is trained that it'll get its way by doing those antics. I always feel badly for youngsters & parents who don't have the knowledge & get in over their heads, especially when the "trainer" doesn't spill it on why the horse will overface the kid, & steer the kid & parent to a suitable, confidence-building horse! Obviously, your daughter is really fortunate that she didn't get hurt, & your "trainer" doesn't hold her welfare in high regard. Dump "trainer", is also my advice.
I love the Morab type of horse; her high spirit goes with the breed & all she needs is the right partner.