As some of the others have mentioned, probably the #1 mistake I see made is dropping the bow arm after releasing the arrow. Follow through is CRITICAL to making a good shot. Keep aiming at the spot you intend to hit until you hear the arrow hit the target. Your pin will be bounced around from the bow's recoil, but it should stay at least close to point of aim until the arrow hits home.

After the release: Don't look at the arrow in flight, don't think about it, it doesn't exist! Your total concentration has to be on that one, exact spot.

You have to develop the ability to focus. Frankly, as sensitive as many bows are about shooting form these days, it's a wonder ANY newcomer can hit what he's shooting at.

About hunting... Do you have a distance where you can hit what you shoot at, every time? If you can keep all your shots in a 6" circle at 10 yards, then go hunting. Just make sure and not shoot at animals that are further than 10 yards away. Knowing your limitations and hunting within them, regardless of the temptation to attempt a shot you know is outside your ability, that's the mark of a true, ethical bowhunter.