I don't shoot at critters that are looking at me (I.e., they actually see me even if they don't quite know what I am) or in my direction if they're close and likely to see me move. They are very likely to jump the string, and it's impossible to predict which way they will turn. A shot would most likely result in a bad hit.
That's hunting. Don't always get the shot. In fact, I let a lot more deer walk than I shoot, some because I don't want to shoot, but just as many because they don't give me a shot, and that includes looking at me when I would otherwise have a shot.