[cliveanne]

Might stir things up a bit, but here goes.
As a finger shooter you need to keep the string hand as flat as possible. String in the first finger joint. Keep the elbow at about the same level as the arrow point. Pull back with the shoulder, not the arm.

The bow hand needs to be as relaxed as possible, so as to minimise torque on the riser. Depending on how you "grip" the bow, you may or may not need a sling (I do not use one) It is up to you whether you shoot High, Medium or Low wrist. All have their good & not so good points, that's down to trial & error.

As a Badminton player, I imagine you use the shoulder to swing the racquet(?) more so than the arm, so I would go R/handed you can always get an extension to your sight pin to make up for your cross-dominance.