Extreme cold might trigger asthma or something, but if the internal organs of your body have chilled down enough to affect your thymus gland you're probably in a morgue cooler already.
Adult men don't have much of a thymus gland left - it's mostly converted to fat.
And -2F is not an extreme temperature. My nose hairs don't even ice up at that temperature. (I spent all Sunday afternoon walking around outside a bunch of parked trucks at -10 or so, in reasonable comfort without bothering with the serious winter getup. Anything down to about -20F is pretty safe, at least for ordinary life - you can go out to the woodpile in your house clothes or shovel the walk in a jacket and single gloves, the kids can walk the dog around the block or get their butts to school and get home with a lost glove by tucking their hands in their sleeves and armpits, ice skating is fun, etc).
The panic in the news reports in Minneapolis was a bit odd - if anyone needs evidence of global warming, there it is: -20F in the morning is now an emergency. When I was kid, it was called "winter". Granted that was over by North Dakota on the prairie, but the schools didn't close for cold at all, let alone something like -20. As a kid we used to hope for blizzards, not deep cold - when it warmed up enough for a heavy blizzard, you might get a day off.