Green’s Dictionary of Slang

jug-fuck n.

[such an image, copulation with a jug, is seen as absurd]

(US) an awful mess or terrible situation.

Coyle Team Yankee 111: Not until, and only if, we get this jug fuck unscrewed.
D. Dye Outrage 10: Until we get out of this Ethiopian jug-fuck, I don’t want to see you any more than six feet away from...your squad [HDAS].