This chick sounds like a massive pain in the ass man. I would personally just respond bhy trolling her. If she's this annoying over text, she's gonna be 100x worse in person.
"Online dating must be really difficult for you"

ya you didn't build enough rapport clearly.

Try using this "let's start with some of basics, any kids, pets, tattoos, favorite weekend spots, or crazy exes?"

You should be able to build some rapport about one of those topics as you chat. Or if that doesn't work ask her about favorite travel spot. Then after a few back and forth messages building comfort you can go back to a line like "you'll have to tell me all about it on our romantic date I've planned." or say "I'd love to hear more about this in person. Do you like wine?" (or you can say coffee)

There’s still a way to go about it. You just have to approach it with some empathy and treat it like a new interaction. When, she was telling you about how busy she was, you didn’t really show much empathy and basically kept trying to press. I’m sure she could sense it too and basically told you that she doesn’t feel comfortable.

You can try:

1. A phone call (quicker but risky if you don’t have good verbal game)
2. A do over: “I get you’re stressed. There’s actually a trick I picked up when I visited (insert DHV) that helps a lot. For now, though, let’s just start over.
   “Hey! My names (your name) you seem like my type so I wanted to come talk to you” ”