RE: Peep Sight Problem ?
I would guess you have one of about three problems.
Either you are torquing the bow in your hand. Loosen up that grip
Your peep is twisting on the string. If you are finger shooting then don't twist the string. If you have a release either get a peep with rubber tubing or install a loop and set it to align you peep.
Or you cable guard is not adjust properly.
All these can be fixed at your local bow shop or by having a friend who shoots watch you draw it back.