As a Badger Alum with intimate knowledge of football politics on that campus, Williams was wise to NOT go to UW if he wants to be a Psychology Major.
There was an unwritten rule under Barry Alvarez that ALL football players were Afro-Am Studies Majors until they were juniors; star players were the only exception. This rule was in place under Bielema, and from what I understand, was one of the (many) factors in Gary Andersen's departure from Madison. Paul Chryst seemingly is in line with Alvarez's old mandate. The way the course loads and class schedules play out at Madison, it was virtually impossible for players to graduate on time with any other major if they expected to make practice schedules.
It's a great school, and a great campus environment, but playing football there is not conducive to receiving a degree of one's choosing.