You shouldn't be hoping for much in the way of artistic freedom with this job. Computer animators typically realize other people's visions in two and three dimensions. You're responsible for the know-how and artistic expertise, but it's your bosses and clients who call the shots about the specific details of the content.
If you think the Dalmatian you just drew is a nice homage to your first dog Spot, but your boss decides the dog should be a retriever instead...well, guess who wins that battle? (It's not going to be Spot.)
But you do have power in that you're the one who makes things happen. Not just anyone can create the moving, tousled, scarlet mane of Merida in Brave, or the little green ogre ears in Shrek.
You have the power to bring ideas to life—and that's not bad. If you happen to be self-employed, you also have the power to say "yes" to a project or "super no" if it's something you truly, madly, deeply believe to be beneath your creative power.