Guys: Could you date a "Touch me not"? (Someone who would rather touch her partner, but don't like to be touched herself, and maybe eaven keep her clothes on)

Yeah, I could date a Touch me not person if it was a trade off for other things I really liked about them.  What I'm saying is it better be worth my time or I will end the relationship early because, I would hate to be dating so long and never get anything out of the relationship in the long run.  I would however like to know why they don't want me to touch them and why they would rather touch me instead. I would also like to know if they plan on never getting touched by their partner ever or they would rather not get touched for a while until they were ready.  

No... I have to touch... That's why no one takes me to museums anymore

I'm answering this even though I'm female.

 

And no, I couldn't. Because there would obviously be something really fucked up with that person, and if they're not willing to go to therapy or something and figure out why they're so fucked up then I'm not dealing with it. What if they're a psychopath? Or have latent serial killer tendencies? You never know with that shit. Sex related stuff is tied to some messed up psychiatric problems.