I think that age is fine as long as your child can handle different scenarios and emotions. I do agree the books and movies get a lot more adult in nature the closer you get to the end. Maybe read a portion of the first one with her to make sure she isn't getting overwhelmed? My son and I read the first one aloud with each other at 4 1/2 but after that he continued to read a few of them over K and 1st. He hasn't finished them, or the movies as he's followed other books of greater interest the last few years.
Good luck with your decision!