When I got my second chinchilla, Sonic, he bit me so hard the first time I picked him up and I bled all over the place. He had not been socialized by his previous owner and HATED being handled. He bit me hard enough to bleed every time on several occasions in those first weeks. If I tried to pet him through the bars, he would try to bite me then too. I've had him 8 months now and now he is much sweeter.
My best advice to you is get some super thick leather gloves from the hardware store for when you need to handle her. When I did this with Sonic, he would of course try to bite through the gloves and I would feel a pinch, but it didn't hurt too bad. Upon picking him up, when he would try to bite I would also blow on his face or top of his head and say "No bite". I would repeat this until he calmed down and quit trying to bite and squirm. Once he behaved, I would let him down to play.
I also have a small kennel carrier that I use occasionally to take him out for playtime if he seems grouchy. I open his cage door and hold the kennel up to it and say "Sonic, inside" and he will hop in because he knows its playtime. You could also do this with a dust bath house.
At this point, he does not mind being handled by me for short periods of time. He also likes his belly scratched through the bars when he is in his cage. It will take you alot of time and patience, but I'm sure that your chinny will come around and learn to trust you and love you! Safe treats are always helpful too. Hope my experience helps you! Good luck! :thumbsup: