Bob, if it was a muscle hit and you "get on it"... you'll run that deer into the next county, if not the next state. Unless of course I'm misunderstanding your meaning of "get on it". Like Barnes, the only shred of hope when a shot goes under the spine and fails to enter the chest is nicking a vessel. You simply will not recover a deer from a meat only hit in that region.
Now, I guess there is a slight chance you'd get 'em... so long as you pushed him toward traffic... he may run out in front of a bus. Hey, where's Cardeer when you need 'em. [&:]