If you can consistently hit a spot 2" to the left of your target, your form must be pretty good. You said you tuned your arrows, so your arrow spine can't be that far off. What that leaves, in my mind, is that your "sights" are out of allignment. In order to move your point of impact to the right, without changing anything else, your rear sight, which is your eye, needs to move to the right with respect to the arrow. You can do this either by moving the rear of your arrow to the left, or moving your eye to the right. You should be able to move the point of impact of your arrows to the center of the target, or to the right of center of the target, depending on how much of a correction you make.
Sometimes, wearing a thick shooting glove or going to a deep hook will move the hand away from the face enough to move the point of impact of the arrow to the left. So the first question to ask yourself is whether there is anything you can do to move the rear of the arrow to the left, closer to your face, without fouling up the way you shoot.
If the answer is "no," then you have to ask yourself what you can do to move your eye to the right with respect to the arrow. I tilt my head to move my eye over the arrow. If you're a person who keeps your head at the same angle as the bow, regardless of cant, you can cant the bow a little more, your head will tilt as you cant the bow, and that will bring your eye to the right, more over the arrow.
When your eye is directly over the arrow, it will appear to fly straight towards the target. When your eye is to the left of the arrow, it will appear to fly from right to left toward the target. Whether you can notice this at 6 yards or not, I don't know, but it is easy to see at 20 yards.
Or, you can just not worry about it. Many good instinctive shooters would say that if you've got good form, and are able to consistently shoot tight groups, your brain will eventually move the group over to the center of the target without you having to consciously do anything about it. If you take this route, be aware that your arrow point will be to the right of your target in your peripheral vision. You can't let that worry you either, assuming you notice the arrow point at all, or you will defeat the purpose of your brain trying to reprogram your shot.