She wants to stay single awhile, but what next?

She broke up with a guy. That means that for a time, she's not going to hook-up with anyone. She wants to be single for a while. That's all understandable. And you'll never, never see any signs as to when she thinks she'll be ready for another try at a relationship. So what you have to do is remain a friend, text her once in while (NOT ALL THE TIME), and let her approach you with an invitation. Anything else would just give her undue pressure and then you'd be history. Good Luck.