The Lady Statesmen (8-4, 3-1) led by as many as 14 points in the second half, before Shorter (6-6, 2-3) went on a 16-8 run over the final 10:37 to make things interesting for the home crowd.
Rhandi Ball's jump shot with 12:06 left in the first half gave the Lady Statesmen a 14-6 lead, but the Hawks responded with a 14-5 run to take a 20-19 lead with 6:47 left. A free throw by Lynette Harris gave Shorter a 23-19 lead with 5:42 left in the opening 20 minutes, but DSU hit three long-range shots and finished the half on a 15-4 run of its on to lead 34-27 at the half.
Ball had nine first half points to lead DSU, while Karisma Boykin and Kristin Nash also had nine for the Hawks.
The Lady Statesmen finished the half 13-of-30 (43.3), including 6-of-12 from three-point range, while Shorter was 11-of-24 (45.8) from the floor.
Following a three-pointer by Tamarr Williams to cut DSU's lead to 48-41 with 13:33 left, the Lady Statesmen went on a 9-2 run, capped off by a Becca Ruckes laypup with 10:37 remaining. From that point, DSU did not score until a Rhandi Ball jump shot with 2:48 left gave the Green-and-White a 59-52 lead.
DSU hit six straight free throws to close out the contest.
Shorter finished 23-of-61 (37.7), while DSU was 24-of-53 (45.3), including a season best nine three-pointers. Ball (17) and Chelsey Rhodes (13) led the way for DSU. Chadisty Hickman had a Lady Statesmen career best with 10 points.
Boykin (16), Nash and Shelby Farrer (14) each had double figures for the Hawks.
The Lady Statesmen return to action on Saturday at 5 p.m. to take on the University of Alabama-Huntsville Chargers.