Yes, he should be suspended indefinitely until the SEC decides on his eligibility.  This act should at least be similar to a targeting foul where he has to miss part of the next game.  According to other people who saw the whole thing, Shemar Turner (TAMU) was pancaked by Micah Pettus (Ole Miss).  Pettus had been owning Turner most of the game.  In frustration, Turner hit Pettus in the groining and then stood up to take a swing with a right jab at Pettus' head.  Pettus fell to the ground (great acting) and Turner drew the penalty.  Turner was then ejected from the game as a result of his actions.  Shemar later took to social media and posted an apology for his actions.

Texas A+M’s Shemar Turner Got Ejected For Uppercutting An Ole Miss Lineman In The Nuts
https://www.foxnews.com/sports/texas-am-player-ejected-fierce-shot-groin-ole-miss-opponentShemar

Turner publicly apologizes for dirty hit on Ole Miss player that led to ejection
https://www.saturdaydownsouth.com/tamu-football/shemar-turner-publicly-apologizes-for-dirty-hit-on-ole-miss-player-that-led-to-ejection/