First, IMO chicken bones are mostly too large for cats. CAN they eat them? Yes. But most cats will have trouble with them, esp. at first. A better choice is cornish game hen (which is very small, 1-pound chicken) or better yet, quail. I get quail at an Asian/Mexican grocery $6.00 for 6, and the cats get 1/2 each when they get quail. The bones are more appropriately sized for cats.
Second, I think you're babying her a bit. Yes, she needs to eat every day due to the risk of hepatic lipidosis. But try this:
AM: Offer boneless chunk. If she eats it, great! If not, take it away, put it in a baggie in the fridge and that's IT. Nothing else until supper.
PM: Offer boneless chunk. If she eats it, great! If not, give her some canned food (or, if ABSOLUTELY necessary, a little dry, but canned would be better).
AM: Repeat same as AM yesterday.
This way she is eating something every 24 hours, but she's hungry enough at her meals to give the new food a try. Get her eating boneless again before trying bone-in, but when you do, do it the same way (but substitute boneless raw for the canned food in the evening if she doesn't eat the bone-in). Of course, you don't want her eating bone-in at every meal, but you get the idea.