What do you mean by "someone like me"? You are not describing yourself at all. All this is doing is making it sound like you think you are better than her.
In which case, yes it is weird. It is weird that you are judging someone strictly based on the type of music they listen to and not based on that person and that is just wrong.
In the case that you are not judging her, just do not partake in her taste in music. That is not weird at all, everyone is different and everyone has different tastes in things. Under no circumstances do you only have to like the people who have the same tastes in things as yourself.
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