The term 'Stray Cowboy' is a reference to the classic western movie genre, in which a lone cowboy rides into town and helps the locals with their problems. The crossword solution for this term is 'DOGIE, ' which is a term used to refer to a young calf that has been separated from its mother. This term is often used to describe a loner or an outcast, which is fitting for the Stray Cowboy character.