I don't mean the "I got home safely text" I mean like her initiating contact at some point a few days after the date. Is she likely to do this if she's no longer interested in seeing me?

So been talking to this girl off of hinge for about a month now. I had to do a bit of pursuing (e.g. double texting on more than one occasion) to get her out on the date but she came. Tbh our schedules didn't align very well, with me having to cancel some dates here and there as well.

Anyway we met up on a few days ago for dinner and it went objectively well. We got dinner, the place was loud so I said that we should head out after for a walk, she agreed and we walked for quite some time getting to know each other. She also did 80% of the talking, I was mostly asking her questions. She was a lot more talkative in person than over text.

After the date I walked her to the nearest train station. I had to leave but she didn't seem like she was in a rush to leave, waiting around and still engaging in convo. I had to end the convo and leave so I gave her a hug and told her I'd like to see her again. I also told her to text me when she got home. She texted me and said thanks for the night and wished me goodnight.

Her texting the next day was noticeably more positive than before the date. Not like "omg she's head over heels for me" but she seemed more engaged and had better response times. I actually missed my flight and I asked her if she was free to hang out that night but she said that she was busy.

Anyway two days after she texted me saying "Heyy, did you make your flight?" and we had a bit of a convo after that.

Would she be likely to text me that if she didn't want to see me again?