Quote - I just realized that I've been putting the arrow to the right of the bow when every picture I can find shows the arrow rests on the left. I've already changed the poses, but I'm wondering if there is a techincal reason for this position? Is it possible to shoot a bow properly when the arrow rests on the right?

In a fantasy-type render you can probably please yourself because precedent exists for both.

In most western/European traditional archery the arrow rests on the first knuckle of the index finger, (to the left of the bow for a right handed archer). Tilting the bow stops the arrow slipping off the knuckle (in your render the tilt would cause it to fall off). Modern bows stick to that  pattern, there's now an arrow rest on the centerline of the bow (the bow itself is now sorta notched to clear the arrow, or even split), but the arrow is still loaded to the left of the bow.

In Japanese Kyudo the arrow rests on the thumb (so it's on the right of the bow for a right handed archer). There's lots about kyudo that looks really strange to a western-style archer, like the draw is about 5 inches past the ear, whereas a western bow is drawn to around the chin.

 

Edited to add: You'd also typically have 3 fingers on the string - 1 above the arrow and 2 below. Two fingers is possible, but it's really hard on the fingers if the bow is powerful. The little finger  can't reach the string.