You texted her twice — two days apart. She responded both times. If she wasn’t interested, I doubt that she would have responded. Also, she didn’t have to ask you to meet her family, especially recovering from illness. That indicates she is interested in getting to know you better. And you likewise, are interested in getting to know her better. Neither of you really know the other person very well at this point. So I wouldn’t jump to conclusions. The fact that she did not continue to text with you after your response text doesn’t necessarily mean she isn’t interested. You are right not to bombard her with texts. That was good. Now, give her a call and ask her out again — by phone so you can hear each other’s voices — not by text. It’s good practice to ask someone out, whatever happens with this particular person. You get to flex your guy muscles and work on that guy-fear-of-rejection-thing. Remember you were a whole person before you two started getting to know each other. Whatever happens here, you will still be that person. If she says yes, great; if not, listen to her reason and decide if you want to try again. Keep it simple and try not to assume anything until you know for sure if she is interested or not. Text-interpretation can be really tricky. 😕