Talk to her a lot even if you don't pick her up. It's only been a week, and you have other pets, that may be the problem.
Don't rush it, but don't give up either. And respect her feelings. I have one who will respond to me on her terms. She's now nine years old and I had to learn to respect her.
I also recommend you get a friend for her. Prairie Dogs need constant company and perhaps another one might calm her down and she might learn from the other how to bond with you. This time it should be a male, I find them friendlier.