Make it so that your stand setups limit your shooting distance so that you won't be tempted. The first few deer I ever shot were within 10-15 yards - takes the pressure off if it's a "chip shot".
Practice drawing your bow as smoothly as possible, holding, making a little bleat sound, and letting your shot go within 2 seconds of the sound. Sounds goofy, but you'll be ready to do it in the woods when you've got to stop your deer for the shot.
If at all unsure of your shot placement, stay as quiet as possible and back out for a couple of hours. The only deer I have lost were ones that I pushed too soon or spooked out of their nearby bed post-liver shot. I've only lost two deer in 25 years, but both were heartbreaking.
Practice in low-light. Be sure your peep lets in enough light to be able to shoot. I've gone to an Anchor sight instead of a peep since I've always had a hard time shooting low light with peeps.
Wear a safety harness - always! The nice added benefit is you can tighten up the strap and turn it into a giant baby bjorn for a little snooze. Hehe.
Enjoy your time in the stand!