I agree. Patience is critical.
Remember, too, that CAGs can be as curious as cats, so she will be captivated if you're doing (or eating!) something interesting. It won't be long before she'll want to get a little closer. Step by step, building trust & interest, she'll come over to you.
We didn't have our CAG long before he wanted to try some of what we were eating (something he'd never been allowed before). That was a turning point for us - once he decided he couldn't contain himself any longer, and came down to help himself to my wife's bowl of granola, that was it. He started doing more of, well, everything.