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1.
The facial expression a woman has when she is at the brink of sexual satisfaction. May be a vital thing to consider when looking for a girlfriend.
"Damn, Kim looked good last night, i bet she has a fantastic fuck me face"
by Sam Lasater April 04, 2008
 
2.
The expression on someone's face while they are conducting a physically strenuous activity, or when they receive some unpleasant news.
Ex1 "Hey, new guy! Wipe off that fuck-me-face and get back to work."

Ex2 Dan's reaction to the loss of field pay was a series of Fuck-me-faces

Ex3 "That ruck march was so long, I was making fuck-me-faces every 20 meters."
by Troop-A-Loop September 15, 2011