I'm not saying particular genres, we all have our less desired musical genres, I mean music in general.
When I was a child I was very confident to say that I hated music, all kinds, and my cousin used to say that was not possible.
Turns out he was right, and I only hated the teenage music my sister from the 90s used to listen to.
Secretly I enjoyed soundtracks and OSTs from several media, such as animes (digimon openings and battle themes for example) and some TV shows or even videogames.
Then my taste "evolved" and pretty much stayed at rock, heavy metal and alike.
So that little memory lane inspired me to ask about this.
"Amusia" is apparently a thing, which would be the inability to feel patterns in pitch, beat and/or rhythm in music, so I can definitely see those people not enjoying music so much. I can't relate at all, but I guess I can't exactly relate to what it's like to be blind either...
Now that we are talking about disabilities... I didn't even consider deaf people... Perhaps some deaf people are not capable of liking music? (I suppose there are levels of deaf, as blind people do).
I had a teacher once who used to work at a school for the deaf and he told us about their school dances. Apparently they would crank the bass way up so everyone could feel the vibrations, and apparently a lot of the kids would carry balloons around because you can really feel it in the balloons, it actually sounded like a pretty cool experience
Well, that doesn't stop one from liking music, no? Music has such a wide range, there is music without rhythm/beat (or a very different understanding of the concept of "rhythm"), without melody or patterns in general. I think this just narrows down your choice, but doesn't make you hate music.
Note that I'm using these terms in their largest, most generic sense. Melody as elements of pitch with some kind of temporal progression. Beat as in a regular pulse around which sounds are organized. Rhythm as a form of temporal repetition or pattern (you can have rhythm without a beat). As far as I know, they're pretty much the fundamental differentiating elements versus what's just called noise.
I know there are types of music that stretches the limits of what most consider music, but I'm trying very hard to think about a single thing we'd call music that doesn't have at least one of those elements, and I just can't. Maybe you could come up with some examples, cause I really can't haha. I was thinking of things like Perendecki's Threnody, but it definitely has melodic elements, despite being mostly extremely ambiant and atonal/dissonant. John Cage's Prepared Piano stuff is basically all rhythm. Most ambiant music is extremely melodic.