People think rinsing meat is some kind of sacrilege but truth is, if a butcher gets hair on the meat they just, well, rinse or wipe it off. It ain’t rocketry physics. Paper towels are awesome, if they have absorptive texture. If they’re crappy smooth ones like in a public restroom they won’t grip the hairs. But I just rinse meat free of hair and pat it dry. Lickety-split and no after-taste of burnt hair or torch fuel on your beautiful venison.
Opposite is true when I have something aging or curing in fridge/cooler: moisture is my enemy.