She's just gone through a breakup, and that always leaves a wound. Some people in her situation will take some time off to allow that wound to heal, but others—men and women alike—will just slap a Band-Aid on it and charge back into the game. I'm sure you know what happens to Band-Aids when they're no longer needed. It sounds as if this girl, even in her apparent confusion, has the sense to give herself the time she needs to heal. You'd do well to do the same. Ask yourself this: do you want to be a boyfriend or a Band-Aid?
I'm not suggesting that you stay away entirely. On the contrary, be there for her, but as a friend, not a suitor. Hang out, do stuff together—if she's willing, of course—but keep it casual, no pressure, and never use the word date. Show her that you understand and respect her needs. Try to be patient, however hard that might be. In time, you may become more than friends, but even if that doesn't happen, at least you'll still have her in your life, and you'll always know that she liked and respected you enough not to use you as a short-term fix and then toss you away.