My daughter is 5, and if she were tall enough I would allow her to ride. My husband and I call her our little adrenaline junkie. She loves all the coasters. I am normally the one that says no more because I don't want to go on the ride again. You know your child best. If you think she can handle it then I say go for it. You mentioned that she doesn't like HM. I don't think that's an indicator of anything. My daughter hates the HM. She actually doesn't like Soarin' of FOP either. However she loves BTMR, SDMT, EE, TT, TOT, Space and Splash Mountain. I think you try Space Mountain and EE and then evaluate.