According to Virginia's DNR website, archery turkey season closed for the year Nov. 12. I didn't see anywhere that it reopens, but this is irrelevant. Here's the thing. You obviously aren't trying to hide from it, and since you checked the bird in ( just like you are suppose to ) they are gonna catch you. Just no way around it as I see it. I would contact them and tell them what happened. I would suspect that they would go a little softer on you since you are trying to make right of it, but no guarantee there of course.
Hey, if nothing else, by contacting them you will sleep better.
Keep us posted as to what happens, ok? It'll be ok though. Just be honest with them, and get it over with.