Earlier this month I experienced the joy of a snapped halfshaft for the first time!

All assembled, it functions perfectly well, but now I have a fairly loud whine from the back, only under acceleration (it stops instantly as soon as the pedal is released) and only audible above about 25-30 miles per hour (louder in proportion to speed).
Am I correct in guessing the machine shop didn't get the diff pinion-to-gear clearance correct, and the whine is from the new differential? What else could it be?