I dislike her for two reasons:
1. I am more of a classical music fan. Probably my favorite modern song is "one day". Rap is just very fast, and therefore I don't understand the lyrics. And most of the time after I see the lyrics, it seems very inappropriate.
2. Minaj seems to sexualize herself, and wear very revealing clothing. I don't like rap, but watching her videos seems to be more atune to basically sex videos set to rap.
My taste is more into things such as this:
https://www.youtube.com/watch?v=F0sgKCetlb8