The 21st-ranked Aggies (17-6, 5-4) led by as many as 19 points early in the second half before a scoring drought allowed the Longhorns to get back in the game.
Texas A&M was up by 14 points with about seven minutes left when Texas went on a 14-4 run over the next four minutes to make it 57-53.
After both teams made a pair of free throws, A'Quonesia Franklin, who had nine points and 10 assists for the Aggies, made one of two free throws.
Texas' Carla Cortijo then missed a layup on the other end and the Aggies added two more free throws to push their lead to seven with less than 30 seconds remaining.
Williams made a layup for Texas, but the Longhorns were forced to foul again and Sydney Colson made both free throws to seal the win.
It was a sloppy game with the teams combining for 40 turnovers. The Aggies got an advantage by getting 13 offensive rebounds to five by Texas.
Texas A&M led by 14 points after a shot by Gant with about 11 minutes left. A 3-pointer by Kathleen Nash sparked a 7-2 run for the Longhorns that cut the Aggies' lead to 49-38 about midway through the second half. Raven scored four quick points in the run.
The Aggies responded with five straight points capped by a fast-break layup by Takia Starks to push the lead back to 14 points. Starks finished with 13 points.
The Aggies led 41-22 before going almost nine minutes without scoring a basket early in the second half, allowing Texas to close the gap. The Longhorns went on an 8-1 run in that span to get within 42-30. A jump shot by Gant with 12:33 remaining got the Aggies back on the board.
Texas led 7-4 before consecutive 3-pointers by Franklin and Starks put the Aggies ahead. A&M led 18-12 and then went on a 13-4 run to push the lead to 31-16 about four minutes before halftime. Texas A&M led 39-22 at halftime.
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