IoA might be tough if the craziest she goes for is Soarin'. She should be fine on the Cat In The Hat. The spinning used to be pretty aggressive for a little kids ride, but nothing frightening and it only lasted in short bursts. I have heard they have somewhat slowed down the spinning as of late.
She would probably be OK on Flight of the Hippogriff and Pteranodon Flyers (both kiddie coasters).
Spiderman does not have any "real" drops, as it is a 3D moving ride, but is more intense than Soarin'. However, if she were to close her eyes, as long as loud noises didn't bother her, she would probably be ok.
Other than that, you'll probably want to check out Poseidon's Fury (a walk-through attraction) and the Sinbad stunt show.
If your daughter has been on Kali River Rapids, she will be ok on the Popeye ride - just keep in mind you will get EXTREMELY wet.
Keep in mind - the HP castle is the queue for the Forbidden Journey Ride. So, you'll have to exit before boarding the ride. However, I understand that the stores in HP land are a big hit with HP fans, so you should be able to spend some time there, too.
She might do a lot better over at the Studios (ET, Shrek, Men In Black, Twister, Disaster, Jaws - these are more about special effects than they are about any type of "thrill"). So, you might want to consider getting a 2 park ticket and splitting your time between the two.
I made sure to let them know that we liked it better with spinning but that doesn't mean they will do anything about it 
