Otto, if that "Asian honeysuckle" is the same as our Japanese honeysuckle, you're blessed. It's great high-protein deer browse, and provides cover too. Fertilize a patch and it's as good as a food plot.
I try not to take a shot on a deer that's been alerted, for any reason. I might try to stop a rutting buck on the run, but not a walking deer. When they're on edge, it's really hard to make a killing shot. When they're walking, they don't hear the bow as easily, and they have to reposition themselves a bit to jump, which give me a slight advantage. I'll take any help I can get!