Usually, people shoot better after they are warmed up. That's fine if you're shooting targets. When you hunt, even if you get a chance to shoot a few arrows before you leave in the morning, the chances are that when you get a shot opportunity at an animal, you will be cold and stiff and won't have shot an arrow for hours, at least.
Therefore that's what you have to train for. You have to pull everything together on the first shot of the day, which may be the only shot you get. In your case, you have to figure out why you're missing to the right on the first shot, which I have no idea, and stop doing it.
The way you do this is to increase your physical awareness of what's going on when you shoot an arrow. Mastery of any hand-eye coordination sport is achieved through learning about your own body, so you can answer the question you just asked, and thousands of others that will occur to you. So start paying attention to your body, and try to feel a difference when you shoot an arrow straight and when you shoot one to the right. This is the same thing I do, and thousands of other archers do, every time we take a shot.