Ok, I wasn't going to reply but you said something about giving up on life altogether in that other thread...
If you make each opportunity an all or nothing type situation, no one is going to be able to live up to that. I get that you've been alone a long time, and speaking from personal experience... It makes you more selfish. You start thinking more about what you want, what you need, what you want to have happen and you don't think about the other person. You end up putting a lot of pressure on someone you basically just met. Did you like this girl? Were you actually even interested? Or did you just want to get to the date/relationship checkpoints? Did you consider that you could still text her without having to go on the date, right away, just to see how she was doing and get to know her a bit. (And yes she could have done that too, though she may have had other things on her mind if she really had a family crisis)
Don't be in such a hurry. You got one girls number, you can do it again. Just take what you learned and use it. And quit beating yourself up... Mistakes happen, forgive yourself and move on.
Edit - I reread above, where you said you really like her and that's what has you all nervous. She could still reply, and she might not... if she does ... apologize for not asking before and see how she's doing, and that's regardless of what her answer might be to this ONE date.