UFAA is a "Spin-Off" word of HFFA. It means "Ugly From All Angles." Whereas HFFA means "Hot From Far Away" but up close they're DAMN ugly. Both of these words originated from the American Sit-Com, Scrubs.

when you're hungover as shit after a spending a night drunk as a skunk

Ugly From All Angles. Like this word's kin, HFFA(hot from far away) this is used to describe an accident when someone calls a boy/girl HFFA and realized that that person is ugly.