I'd most likely keep it and eat it up, out of season or not - if she accidently (I mean, a real accident) killed a turkey I'd hate to see it go to waste.
That being said - I was told by our local CO not to let her run free on the off season because she is a deer hound, he said - he personally understands she's a dog and needs her exercise, and it's private property but other CO's could be s and say she is hunting out of season.
Go figure.