What should I do if she stopped responding to my texts after indicating that she wanted to meet up again?

Averroes
Sorry for the length. I think some background may be helpful.

Met on a dating app. Been on two dates. Great conversation both times. At the end of the first, we stood awkwardly for a moment. Then she hugged me and suggested we meet up again. At the end of the second, we stood awkwardly and then I hugged her and said it was good seeing her. No kiss, no walking her to her car, etc. She started for her car, then looked back with a disappointed/worried expression and said, "We'll see each other again, right?" "Definitely," I said.

Okay, I admit both dates ended awkwardly. But her behavior (especially after the second one) made me think she genuinely likes me.

Texted her the day after the second date and suggested we meet up the next week. She said she would be busy for the next few weeks and told me why. Texted her a couple of days later and suggested a date activity for after the busy-ness was over. She responded to my initial text but not to my suggestion.* Now she hasn't responded to my most recent text (which wasn't about setting up a date).

I'm confused. She acted like she likes me; now she isn't responding. Maybe she's just busy, as she said she would be, or she's found someone she likes more. If so, I understand. But does anyone have advice on how I should proceed?

*Note: This isn't necessarily surprising. Neither of us rushed to nail down the second date.
Updates:
+1 y
The awkwardness wasn't because I didn't like her. It was because I'm awkward.
+1 y
She was also busy after the first date. So I suspect she's telling the truth when she says she's busy now. Don't know if that changes anything...
What should I do if she stopped responding to my texts after indicating that she wanted to meet up again?
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