How important?
It's irrelevant to our relationship
When we first started dating his taste in music mortified me.
Music is important to us both too, both of us grew up in musically gifted homes, and both use it as a comfort and a coping mechanism. So while I don't for the life of me understand how someone can actually enjoy today's hip hop, since I'm more of a metal / alternate fan myself, I understand how important music can be.
To be blunt, we silently hate each others music, (yes we take a playful jab at each other every now and again) but we simply respect each others tastes. Neither will complain, insult or switch off the other's music.
We live and let live.
Besides, I love the fact that we're so different, yet fit together so well. Whereas before, I was under the impression I need to find someone with similar tastes as it could be an issue, but that's just because my asshat ex always berated my taste in music.
Also, as mentioned above, much bigger issues creep up within relationships, and in comparison, music just doesn't even make it on the relationship radar in the grander scheme of things.