What he did was wrong and he should resign.
Here's an excerpt from his employment contract.
6.1.2 Disparaging media publicity of a material nature that damages the good name and reputation of Employer or University, if such publicity is caused by Employee’s willful misconduct that could objectively be anticipated to bring Employee into public disrepute or scandal, or which tends to greatly offend the public, or any class thereof on the basis of invidious distinction.[...]These are grounds for firing. But will they fire him? I doubt it.
6.1.4 Employee's dishonesty with Employer or University; or acts of moral depravity; or conviction of a felony or employment or drug-related misdemeanor; or intoxication or being under the influence of a psychoactive substance when performing duties under this contract, when student athletes are present, when attending scheduled public events or appearances, or during media contacts.