You have already gotten plenty of good responses, but I just wanted to echo those saying to find another class with a different coach. And the sooner, the better. Not because she needs to be ready for Rio tomorrow, but just because a good foundation is important even when they are 5.
I have two kids on team (8 and 5). We knew the now 8 year old had some talent. I was pretty dissatisfied with the rec class she was in at that time (she was 5). I actually took her to get evaluated at a "more serious" gym, and they recommended she start working out with the team. I chickened out and stayed put, and it has been a very annoying and frustrating process to finally get her in a good program. Meanwhile, my 5 year old has had much better coaching from the start and looks great for a 5 year old. Not that she is necessarily more talented--it's just that good coaching can make a big difference! We don't expect either of our kids to go to the Olympics, but it IS a very expensive and time-consuming sport. And it creeps up on you and you are in over your head before you know it!

So you might as well find a good fit for your daughter now.
Also, just because this gym might have a stellar upper optional level team doesn't mean it's the best place for your daughter right now. That's odd to me that the times are so limited for rec classes. Even smaller gyms usually have a later option than 4 pm.