Take talc, or baby powder and sprinkel on the arrow rest, blow the excess off and shoot at close range. If the arrow is hitting, it will show a mark. The feather may leave a streak, but you are looking for the shaft hitting, in front of the arrow rest, or shelf.
If it is a takedown, are the limbs moving? Don't over-tighten.
If your using a light string, try a heavier.
If an endless string (not flemish), there may be more noise.
If you get great arrow flight and it is quiet at the lower string height, run with it.