My first impulse was to go with "Every rap song ever," though that's not strictly true. I can name a few non-TTO raps which I like, and several of Weird Al's TTOs. My next impulse was "Any song which glorifies rape, murder, and other violence," but then I decided that was probably not in the spirit of the question.
I interpret the spirit to be "a song you dislike by a person/group/entity you like". And a song immediately leaped to mind, except that it was a cover of a song whose original I've never heard. Andy recommended another song which sets my teeth on edge as much as the first, but again it was a cover and I've not heard the original, which leaves the chance that it might not be the song I hate, but the remake(s).
Which leads to the song of the day: "(She Was A) Hotel Detective" by They Might Be Giants.
- day 01 – your favorite song: "Shades of Gray" as performed by The Monkees.
- day 02 – your least favorite song: "(She Was A) Hotel Detective" by TMBG.
Oh, and my favorite song has indeed changed in the space of 24+/- hours. Today it's "Alegria" from the Cirque Du Soleil show of the same name.