I'm doing my best to stay emotionally detached when it comes to sex. How do I convey this is not the kind of relationship I want?
You tell her this isn't the kind of relationship you want. She either steps up to the plate and becomes part of a new relationship between the two of you or she leaves because she doesn't want that. If she just wants sex you have to decide whether that's good enough for you, we can't decide that for you, if sex is all you need right now, stick with it if the sex is good, if you really want a relationship and she doesn't and she won't change, you have to decide when enough is enough and move on to a new relationship with someone new.