As a musician I would much prefer to date someone with weird musical tastes. It's often the case that music which doesn't resonate on first hearing ends up being the most enduring.
I don’t think I’d stop dating someone over what they listen to. My significant other listens to plenty of stuff I don’t like. That’s why they invented AirPods.
It'd have to be some really off the wall, offensive stuff for it to be a dealbreaker for me. Otherwise, you do you with your music. I would hope we could have some common ground with it in some aspects, but it wouldn't be the end of the world if we didn't.