Despite Godbold's outburst, it was a defensive struggle, one the Aggies won, 60-52.
The loss snapped Oklahoma's (15-6, 3-3) three-game win streak.
Tony Crocker's jumper with 3:23 to play gave Oklahoma a 51-50 lead, but the Aggies' Donald Sloan knocked down a pair of free throws and about a minute later added a layup to give his team a 54-51 lead.
Oklahoma never got closer than two points the rest of the way and were put out of contention when Bryan Davis finished a three-point play after an Aggie missed free throw with under a minute to play.
Davis' play pushed A&M's lead to 58-52.
The Aggies were able to take advantage on both ends, despite shooting just 35 percent for the game. Joseph Jones scored 18 points in the paint. Davis added 13 points and eight boards. Texas A&M won the rebounding battle 35-28.
Prior to its late-game run, Texas A&M went six minutes without a field goal. Oklahoma, however, was unable to capitalize, scoring just three buckets during the stretch.
The Sooners shot 40.9 percent for the game and it was 3-pointers that helped them shoot that well. Oklahoma was 8-of-18 (44.4 percent) from beyond the arc.
Austin Johnson was responsible for the other two treys, both of which came in the first half. That was when Oklahoma outscored the Aggies 12-6 over the final 5:00 to take a 29-23 lead at the break.
Texas A&M started the second half with a 10-2 run to get back in the contest.
Godbold was Oklahoma's only consistent offensive threat. Longar scored nine while Blake Griffin and Johnson added six points apiece.