In simplicity...the difference between left and right wing feathers is that right wing feathers come from the right wing of the bird and left wing feathers from the left wing. .
From the archer's perspective left wing feathers will induce a counter clockwise rotation [left] and right wing feathers will induce a clockwise rotation [Right].
Feather fletchings are very forgiving and stabilise the arrow very quickly. They have a built in natural spin when fletched straight, or are commonly fletched with a helical to increase spin and maximise arrow stability.
They are often used on traditional bows that are shot from the shelf or hand, as feathers do not deflect in the same way as a plastic vane, but simply brush past.
Although they are availible as ‘left wing’ and ‘right wing’, this does not reflect the hand of the archer. It is the wing of the bird, not the handedness of the archer. A left handed archer can shoot a right wing feather perfectly well. for consistency Just do not mix them! Choose one or the other and you are all set
Neil