The Eagles (16-4, 6-2 ODAC) won at 22, 16 and 12 over the Hornets (6-14, 0-6).
The opening set was the closest with Shenandoah leading as late as 22-20 with Nicole Shannon at the service line.
Bridgewater won back the serve thanks to a kill and then combined two kills with a bad set and an attack error by the Hornets to steal the 25-22 victory.
A 10-0 run in the middle of the second propelled the 25-16 win in that set before the hosts led from start to finish in the third.
Shannon and Kaitlyn Kelley had nine digs each to co-lead SU defensively.
Shenandoah is back at home on Friday night in a 6 p.m. ODAC contest versus Randolph.