2.) Usually follows a state of inebriation wherein one person finds him/herself waking up next to someone that he/she would rather chew off his/her own arm than risk removing it and waking the fugly person.
3.) A person one would only go out with drunk, and result in a coyote arm the next day.
Person 2: "I went to the bar last night, and ended up on a coyote date."
2.) Person 1: What happened to you last night?
Person 2: I don't know. I went out, had a few drinks...the last thing I remembered was ording 3 more shots of tequila. Then this morning I woke up next to this fugly creature...I wanted to chew my arm off and not risk waking it up.
Person 1: Ah...you had a coyote date.
3.) Person 1: If you have any more drinks, man, I'm gonna hook you up with that coyote date over there.
Person 2: ...