Folks Like Me by The Geraldine Fibbers (from the LP 'Butch'). It's sung from a female alien's point of view, an alien scientist who was sent to earth to study us but fell in love with an earthling. Now her people want her to return and it would endanger her lover if she were to stay:

"And if I knew I'd only be risking my own life,

I'd stay until they came and struck me dead -

but I couldn't bear to see them hurt a hair on your sweet head"

All sung in Carla Bozulich's beautiful, rich tomboy voice to a swinging alt-country tune. I'm choking up right now as I type this (I'm a sap), so I'm confident it belongs in this thread :)