Sometimes cutting the wing a little (not through the bone, just through the flesh and skin) can help - it releases the flavor and smell, etc.
Some dogs are very good at self-fasting, too. (None of mine, but some are

) Most raw feeders fast every so often - she may feel she needs it. If she's eating the hamburger, however, it could be that her teeth are bothering her. How old is she? Can you 'crunch' up the wing for her (smash it with a hammer or something) so she doesn't really have to chew it?
I would worry that giving her kibble again will wreak havoc with her digestion.
If she had a normal bowel movement I wouldn't worry about obstruction.
Also, maybe she's still not sure what to do with the wings. I had to hold onto one end of the wing (the tip) for several meals for one of mine, until she got the hang of eating them on her own.
You could try smearing the chicken lightly with something enticing - liverwurst comes to mind, or cheese.