No, I think she is too young. My ex wouldn't even watch it because of the disturbing story line, and he's in his mid-30s! Always trust commonsensemedia.org, or you might also decide to preview movies yourself, or do both to be safe. That site rates movies as to the material and what age may be suitable for seeing it, and they detail exactly what parts may be disturbing, by what degree (they use a star system), and why, and whether the movie has any positive messages or not. They even suggest topics that may come up in movies that your kids may ask about and how to address them/what to discuss with them. I'd wait until she's a teen to see it, at the very least.
What you can visualize in your mind when reading a book may not be as graphic as what they show in a movie. I mention this because some people assume that if a kid read a book and was okay with it, then they should be ready to see the movie. For example, if you read about a shooting in a book, you may visualize a hole in the chest and the person collapsing and dying, but a movie may decide to show blood pumping out of the carotid vein on the neck in spurts, the person choking on blood and bleeding through their mouth and turning all shades of blue. See what I mean?
Now that we are on the topic of parents bringing kids to movies, why do I keep seeing toddlers and 7-year-olds at R-rated movies? This is soo wrong! I went to see Elysium this weekend and I saw all these parents with kids my daughter's age watching a movie that shows a man's face being blown to pieces, the "f" word is thrown around like nothing, there are also graphic shootings and other forms of violence including a graphic operation. In what mind can a parent find it appropriate to expose kids to this at such a young age? I wouldn't be surprised to see children at Lovelace, considering I have seen kids watching graphic sex scenes before. They aren't even my kids and I ALREADY feel uncomfortable about them seeing that stuff! Leave your kid with a family member or a sitter if you must, or wait until it's on Netflix or HBO and watch it when your kid's in bed. Don't expose a small child to this unsuitable content because YOU cannot wait to see the movie on your own.