If you want to shoot accurately do not try to align your peep with your pin housing,
Archery is no different then other sport. To prove the point, think about the athlete who make a running catch. To catch the ball as he is running at top speed he does not think of where his feet are landing or how long his stride needs to be. What he does is focus on the ball. His speed is set subconsciously. When he reaches out for the ball he does not aim his hand at the ball. He keep his focus on the ball, his prize, and his hand reaches out subconsciously.
The same is true in archery. The key to shooting accurately is to focus on the target, your prize.
There are those who want you to mechanically align your peep and your pin housing while at the same time aligning your pin with your target. That is like telling the ball player to be sure to check to see if his arm is extended far enough while at the same time to be sure to aim his hand at the path of the ball. It just does not work. Yogi Berra.is quoted as saying, How can you hit the ball, when your thinking of hitting the ball. Yogi was a wise man. If you are thinking of aligning your peep with your pin housing and your pin with your target, you will not be able to do either. Instead you will cause tension and target panic.
Then what should you do. Do what other athletes do focus on your target and let your subconscious
align your eye and your pin with your target. The more you focus the quicker and more accurately your eye will center on your peep and your pin will move to your target. Be like all other athletes focus on your target and let your subconscious do the aiming.