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1.
A woman who is so ugly that you would need to consume such a vast amount of alcohol to render her shaggable, that you would be unable to obtain an erection anyway, thus creating a paradox.
"Shit, that bird's a right munter."

"Yeah, she's a genuine snatch 22!"
by Rusty6899 January 07, 2010
 
2.
A catch 22 that somehow revolves having sex with a woman.

I got herpes from another woman. If I have sex with my wife now, she'll leave me. If I leave her though, I'll never get to have sex with her again. What a snatch 22!
by Drew Stewart August 05, 2007