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1.
The inability to complete a task due to a lack of understanding, competence, or will.
Josh is stuck in the mud and has been unable to complete the engineering changes piled up on his desk due to a lack of will.

Doug seems incompetent in creating purchase orders and appears to be stuck on the mud.

Tim has a lack of understanding of the need for gages and due to that is stuck in the mud.
by Mer9 April 29, 2010
 
2.
When a man is having anal sex with his partner, whoever that may be, and his member fails him while inside, thus having the rectum close around and grip the flaccid member.
Me and the lady wanted to try something new in the bed last night. I thought It was going well until I got stuck in the mud.
by Zetters March 17, 2014
 
3.
To foot-fuck someone up the ass.
I got stuck in the mud last night.
by PP December 03, 2003