For (only) me, good music accommodates many factors:
1- If it's "just a song I really like"... could be the lyrics, the melody, both. My all-time favorite song that I can never, ever, ever find is the Jess Harnell version of "Dream Dancing(with you)" as used in "Dance With Me", for example. Everything about it, I love.
2- Even, accommodable tempo. Doesn't matter if it sucks, just so long as it stays a waltz if it's supposed to be a waltz instead of turning into- get this- a RUMBA. WTF? One of our local "Dance Bands" who "plays for the dancer not themselves"... does just this. They. Are. So. Sad. They try... as much as they can WITHOUT actually taking advice from anyone.
Ooh, more later- someone just emailed me with a SHOE question...