Search Results: dating a talkative girl

So I met this girl on a dating app. (CmB)
There is one week of chatting allowed in the app and if we don't exchange numbers by then, the app assumes it's not good. I messaged her the day we got matched and she only responded a day before our week expired with a number.

We've texted for 3 days (spotty) and then she stopped texting me for like 2 weeks.

Then she got back to me saying sorry for not texting back i was sick etc etc, then we texted for 2 days and then she stopped for a week.

I didn't really care for her and the conversation was dry but I texted her with straightforward and direct questions and she liked it. Eventually got to a first date.

The date went well from my perspective, she was looking gorgeous (makeup and outfit) and I really like her. Her smile shook me. She laughed at my jokes and we talked for 2 hours over some light food.

We hugged and said bye, then we texted a little bit. When I asked about the next date, she said "We don't be seeing each other this month, I don't have time on weekends."

To be fair, she studies at a university 3 hours away from me but she has a family that lives near me and she has work at some organization so she comes back to her family every weekend. From what I know, she is a spotty texter and she is much more talkative and engaging in person. I also know she is busy.

I'm shook by her smiles y'all. Can't wait to see her again but a month sounds too long. Is this her way of nicely rejecting or is she just busy? Any opinion is appreciated and ask me for details if needed. Thanks!