I see she was in a 3-4 year olds class, then moved into another age group - was the coach in the other class good? Either way the program sounds somewhat unorganized to me. Sometimes gyms that are great at the team level don't have good preschool programs (or vice versa). I wouldn't rule out any gyms until you see their preschool program. Even if it's not a "big" gym or doesn't have a lot of older kids, it might be a good starting place. I know people who have really liked "little gym" type programs when well run, even though if you want to continue past a certain age and level, obviously they are just for developmental.
Even if she hasn't noticed the coaching now, she will, and she'll eventually stop liking it or grow frustrated. If she gets hurt, she may become afraid of similar moves for a long time. So, if your gut is telling you this isn't the right situation for her, even if it means you have no other options in this sport I think you'll have to try to pull the plug and try something else similar for a few years - dance would be a good choice. Until you can find a program that meets her needs.
Even if she hasn't noticed the coaching now, she will, and she'll eventually stop liking it or grow frustrated. If she gets hurt, she may become afraid of similar moves for a long time. So, if your gut is telling you this isn't the right situation for her, even if it means you have no other options in this sport I think you'll have to try to pull the plug and try something else similar for a few years - dance would be a good choice. Until you can find a program that meets her needs.