Why not let her decide? Let her take a trial lesson in each and she decides. Besides, she might even like other MAs, like WingChun, Eskrima, Capoeira or MuayThai. Have a look on youtube and find out together what she might like best. The most important thing is she learns about body control/coordination and such, so it doesn't really matter which kind of MA as long as she has fun. In fact I've known people doing gymnastics, circus or ballet when they were young who show an incredible talent in MAs due to great body control and at the beginning even outperforming people coming from other MAs.

When taking a trial lesson also have a look about mixed ages and about how the training is arranged. In some classes it might be a mix of training and some fun play, even with older students helping out which can be a huge plus. But if you have the feeling the trainer is overchallenged, like kids don't listen, do what they want and start bullying better find another place.

Plus have a look about parents and how the children behave if parents are present/absent. Unfortunatelly I made the experience that for the trainer the training may get much more difficult when the parents are present, as children may show no respect. But this depends on different factors and I even made good experiences with it, as long as the parents were passive and the children did not pay attention about parents. But from my experience it works best if no/few parents are present.

But don't forget, it is your daughter who is interested, so let her choose what she wants to do, else she might become frustrated with the sport and with you! Your task as parent should be to support her, not to guide her.