She then hit a contested jumper in the lane with 15 seconds remaining to give the Dream their first lead of the second half.
Dallas had two final chances but Awak Kuier missed a corner 3-pointer, and Shepard's putback attempt at the buzzer fell short.
The loss dropped the Wings to 18-10, placing them fourth in the Western Conference.
Despite the defeat, Dallas has shown a significant turnaround from finishing with the league's worst record in 2025, boosted by Shepard's four triple-doubles and her first career All-Star selection this season.
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The Dream will host the Seattle Storm on Friday, while the Wings travel to face the Washington Mystics on the same evening.
