There's like a 0.1% chance that she's still alive, as I hear someone in the comics and I believe in the show also got shot in the face, but survived as it was really their cheek. My friend thought that that's what happened when he originally saw the scene. Her face was never shown, while Doug's was and was clearly shot in the back. However, she'd need immediate medical help. Plus, I'm not sure why they'd keep Carley while not keeping Doug as their options have gone hand in hand, if that's the correct way to explain it.
Carley became my favorite video game character ever, and I am still really sad about her death even now, weeks later, but I don't think people should get their hopes up, scream at others over a very low possibility, and go as far as bashing the creators. You're only giving them more satisfaction, as getting worked up over a character's death = tells them they've done their job well.
I'd be happy if she was brought back, but I'd be just as happy if she wasn't but was referenced in episodes 4 and 5. It's dumb to make her irrelevant when she was a very vocal group member and almost developed a relationship with Lee. I mean, Lee still has her gun, right? (:
All we can do is wait. Telltale has done a fantastic job so far, in my opinion.