Shenandoah (4-3, 1-0 ODAC) dominated the contest, jumping on SBC (1-5, 0-2) for five goals in the first 10 minutes of the game.
SU led 9-0 at the break and kicked in the running clock rule 43 seconds into the second half.
The Vixens, who were held to nine shots on the day, were unable to find the back of the net as Hornets goalkeeper Ashley Cross made all six saves.
Cross, the all-time saves leader at Shenandoah, had four saves in the first and two more in the second to record her third career shutout.
Cross' classmate, Samantha Sisson, led all players with three goals and three assists for six points.
Her final assist, to Brittany Arndt with 22:48 remaining, ties Sisson with Jennie Ott '11 for the all-time lead at SU.
Sisson now has 74 career assists.
Sophomore Elizabeth Paras added a goal and an assist.
The Hornets had a 25-11 advantage in groundballs and won 14 of 19 draws.
Shenandoah is back in action on Wednesday at Washington and Lee.