In practice I'll have both going at the same time, as there are multiple screens at my disposal, but if I had only one, I'd just flip back and forth situationally and hope both games didn't come down to crunch time at the exact same moment, which shouldn't happen given the starting times. I tend to make decisions based on my sense of the amount of win probability leverage that's in play, as it guides my instinct as to what's more important.
If I absolutely had to choose, I'd pick the NFL playoff game if I cared a lot about the outcome, and if not (say, Vikings-Commanders or Titans-Ravens, something like that), the UConn game. It's only a regular season game after all, and it's pretty clear barring multiple season-ending injuries (knock on every piece of wood furniture in my apartment), the Huskies are NCAA tournament-bound. But I'd be annoyed that I even had to make the choice. We do have tickets to the Butler game in January, and if the Bills wind up playing in the divisional round at the same time (which is definitely possible), I'm gonna be pretty damn frustrated with that situation.