The arrow is pointing to the left before you draw it, but when you draw it, it comes back to near the side plate of the bow. In that position, when you put the point on your target (for a point on shot) you're moving your bow to the right. The arrow is pointing straight at the target. The reason it hits the target is because it has proper spine and flexes around the riser when it leaves the bow. If it's not spined properly, it will shoot left or right of the target.
Long story short, the drawn arrow is always aligned in a direct, straight line to the target. To achieve that alignment, the bow itself moves left or right, usually right for a right handed shooter, to achieve it.
BTW, you're dealing with what was originally called archer's paradox. I.e., it looks like your arrow should shoot to the left, yet when shot, it goes straight to the target. (A factual observation seeming to contradict common sense is one definition of a paradox.) Of course, nowadays, folks misuse the word paradox as synonymous with the arrow bending around the riser. The arrow flexes around the riser it doesn't paradox around the riser. However, before we knew it actually flexed around the riser, it was a paradox.