The win is just the second ever for Shenandoah over the Eagles in field hockey.
After BC scored off of a penalty corner just 1:48 into the second half, Shenandoah put the game away with a Morgan Payne goal at 44:50.
Payne tallied after SU was awarded its only penalty corner of the second half and she converted a Megan Stevens assist.
Shenandoah outshot the Eagles 11-8, including 8-2 in the first half, with BC holding a 4-3 advantage in corners.
Jessica Brown had four saves, all in the second half, to earn the win.
SU completes its regular season on Saturday at Virginia Wesleyan.