I would hold off before asking her what she wants unless it is torturing you. The last guy I broke up with texted me all the time after we broke up and I tried to be friends but then I realized that he was just trying to get back with me so I stopped talking to him all together. So my thinking is, if she doesn't cut you out all together then maybe she just really does want her space? Sounds like she is being honest with you. She enjoys your company but is having a good time being single and there's nothing wrong with that.

Has this only been going on for a couple weeks? I would def wait it out and just let her do what she needs to. If it gets to where you absolutely need more and can't do the friends thing anymore and she hasn't already come to you, then talk about it. But if you two are genuinely enjoying each other's company and there isn't anything else going on then I would just let it go for the time being.