Williams played sparingly in his freshman season. He would make his first career start in the Arizona Bowl where he would throw for three touchdowns and he would also have a rushing touchdown in a 38–17 win against Georgia State.[4] In the next season, Williams played in all six games in a shortened season rushing for 6 touchdowns while only having one passing touchdown with three interceptions. Williams would play in eight games the following season. After a three-game losing streak Williams was named the starting quarterback against San Jose State.[5] Wyoming lost 21–27 behind two touchdowns and two interceptions from Williams.[6] He finished the season with 8 passing touchdowns with 5 interceptions and one rushing touchdown. In the Famous Idaho Potato Bowl against Kent State, Williams threw for one touchdown with 127 yards, and he rushed for 200 yards and 4 touchdowns in the 52–38 win.[7] After his performance, Williams was named the game's MVP.[8] On December 22, 2021, just one day after the game, Williams announced his decision to transfer.[9]
On December 30, 2021, Williams announced his decision to transfer to Utah State.[10] After playing as a backup for two seasons, Williams was named the starter against New Mexico in the final regular season game of the 2023 season.[11] In his first start with Utah State, he combined for five total touchdowns, two passing and three rushing, including the game-winning 13-yard touchdown run in overtime, leading Utah State to a 44–41 double-overtime victory.[12][13] As a result of his performance, Williams was named the Mountain West Offensive Player of the Week.[14] On November 28, 2023, Williams announced that he would be forgoing his final year of college eligibility to pursue his dream of becoming a Navy SEAL.[15][16] A few weeks later, he was named the starting quarterback for the 2023 Famous Idaho Potato Bowl, his final collegiate game.[17][18]
| Season |
Games |
Passing |
Rushing |
| GP | GS | Record | Cmp | Att | Pct | Yds | Avg | TD | Int | Rtg | Att | Yds | Avg | TD |
| Wyoming Cowboys |
| 2019 |
3 | 1 | 1−0 | 19 | 39 | 48.7 | 343 | 8.8 | 3 | 2 | 137.7 | 40 | 181 | 4.5 | 2 |
| 2020 |
6 | 5 | 2−3 | 59 | 119 | 49.6 | 877 | 7.4 | 1 | 3 | 109.2 | 56 | 100 | 1.8 | 6 |
| 2021 |
9 | 6 | 3−3 | 72 | 120 | 60.0 | 990 | 8.3 | 9 | 5 | 145.7 | 72 | 482 | 6.7 | 5 |
| Utah State Aggies |
| 2022 |
6 | 0 | — | 5 | 17 | 29.4 | 28 | 1.6 | 0 | 1 | 31.5 | 10 | 51 | 5.1 | 0 |
| 2023 |
10 | 2 | 1−1 | 35 | 61 | 57.4 | 365 | 7.0 | 5 | 2 | 136.4 | 45 | 209 | 4.6 | 3 |
| Career[19] | 34 | 14 | 7−7 | 190 | 356 | 53.4 | 2,663 | 7.5 | 18 | 13 | 125.6 | 223 | 1,023 | 4.6 | 16 |