Could this be a deal breaker?

I broke up with my ex and I'm dating a new guy, and he is much better than my ex, but there's a problem. He never wants to have at all. I realized it when he just falls asleep every night so I asked him this night and he said that he just isn't interested and he said something stupid like he doesn't find shoving an appendage up a woman's hole pleasurable. So I'm asking if this is a good reason to break up with him?