Well, if she tends to be a daredevil, I would say:
Definitely:
Barnstormer
Mine Train
Test Track
Soarin'
Big Thunder Mountain
Possibly:
Space Mountain (44 inches) (be aware that it's in the dark. and it's single file, so you wouldn't be next to her)
Star Tours (the older version took me longer. My brother liked it immediately)
Splash Mountain (depends on the kid, my brother and I were both fine on this one the first time we rode)
Probably not:
TofT (I personally didn't like this one until I was 7 or 8. Ditto on my younger brother.)
Mission: Space (44 inches) (I personally don't think anyone under 5 or 6 should be on the more intense version. Less intense: maybe, but definitely not more intense)
Dinosaur (can be scary; my parents waited on this one with me until I was about 5 or 6, ditto on my brother)
Expedition Everest (44 inches) (brother refused to ride this one until he was seven or eight)
Stitches Great Escape (Not a great ride and can potentially be frightening)
My parents' rule was always that we had to try something at least once when we were tall enough, and then after that, if we didn't want to go on it, we wouldn't have to for the remainder of the trip. They did give the rule some flexibility, though. My brother was truly terrified of TofT and did not want to go on it (I could be bribed...should have said I didn't like it for longer just to keep the bribery going
). My parents were patient, and then when we were out in DL, he decided he wanted to see what that version was like. He's ridden both versions without a problem since then. EE was similar. He rode it once, and then after that it took several trips before he wanted to do it again. I would not take a three year old on that one.