Not a chance, I would rather let the deer walk..
That small bush may not deflect an arrow but what happens when the head hits a branch the size of my little finger? How much KE is lost? How much penetration is lost? What happens to that deer when you get 2" of penetration because the bush absorbed all the KE and killed all the momentum?
That's not really all to worry about. I took a shot once down an old road. There was a clearing with a big doe graising in it. A small branch had hung down slightly giving what I thought was a slight chance to bothering any thing. Once I let the arrow fly it nicked the branch. I do not think it bothered any for as far as KE went but it did cause the deer to jump. Fortunately the branch was just far enough away so the deer jumping straight up cleared the arrow. Now had it been closer and I struck the deer with the arrow. It would have been a bad hit and would of required alot of hard work tracking to recover it. I wouldn't had preffered that. So there is alot more to concider when shooting through any kind of branches.
The best advice is simply don't do it..