Shenandoah (6-9-1, 4-4-1 ODAC) now stands in seventh place in the league with three conference games remaining. The top eight teams in the league make the tournament and SU holds a 1.5 game lead over eighth place Randolph and a 3.0 game lead over Emory and Henry as well as Guilford (3-13, 2-7).
The Hornets hold the head-to-head tiebreaker over the WildCats, Wasps and Quakers.
Oakes one-timed a Sarah Hensley free kick for the game-winner while Malik tallied unassisted with a deflection inside the box.
SU outshot its hosts 21-7 for the contest, including 14-4 in the second half, and took seven of the 10 corner kicks awarded.
Nichole Pratt made four saves in earning the shutout.
Shenandoah is back in action on Wednesday night at 7:00 in another ODAC contest, this one against Eastern Mennonite. The game is the final home contest of the regular season for SU and the Hornets will be wearing red as part of the SAAC 'Fall Fest'.