The deer woods are full of sounds, I have never had a deer bolt from the click of the hammer. They may look around, but unless already on the alert from other details like scent or movement, they just go back to what they were doing. That said, if I have time I may cover the cylinder and frame with my off hand to help muffle the sound a bit. If you see one coming from a distance cock the hammer early and hold the gun in the ready position (with the booger picker off the bang switch).

Nice piece, BTW ;-)