Learning with little Miss A

I think, that your daughter is very smart and have tendency to appreciate advance music. Most likely you gave her very good exposure and listened to classics quite often. However her mind is more developed then her fine motor skills and this is very natural for children of her age. This creates some learning problem since children like to do something, if they CAN.
In developing fine motor skills and both hands cooordination we have to follow 'Chew the big elephant in tiny pieces' rule: Soft Mozart permits you to cut section in Gentle Piano as small as 1-2 notes at a time.
Did you learn how to cut?
Please, open the Gentle Piano - any piano piece - F1
Follow the hot keys
Cut a bar and ask your daughter to play (for example) 3 notes. Let her enjoy playing them and make 3 out of 3. Her auditory perception and fine motor skills are going to be synchronized and she will stop feeling that she can't follow the music with her fingers.
The same with Guess Key: set 30 seconds. Let her go before she lost her interest.
Our ultimate goal is to initiate, motivate, maintain and improve child's inborn cognitive talent - not to enforce on the child our 'beliefs' what and how she supposed to do something.
Hope my suggestions will help you!
Let me know!