Caution:word related

Bingley asks, all innocent like, "What's the difference between stud and stud muffin?"

Well, Bingley, my sweet, the difference isn't all that much.
Muffins are scrumptious, finger-licking good, so, by extension, a stud muffin would be a stud that also fits that description. Ah for the licker smiliecon!. Stud is definitly a noun. Is stud muffin a two word noun or what? I'm not the world's best sentence diagramer.
tongue so far in cheek it's coming out the other ear-e