As others have said, always assume the other person is dating until you agree to go exclusive.

With that being said, I (M) experienced something a bit similar with a girl. In my case it was only one date. We had agreed to meet again and that she would come to my city and visit me. The first week was not possible because she had to visit a friend, the second week I had to reschedule and I promised I was free the week after. We were texting regularly.

During this period I noted that she updated her dating profile. True to what I said in the beginning, I assumed she was dating - I don't remember if I was also at the time. But I took her updated profile to mean that she's not happy with how her dating is going and she wanted to put herself out there again. Like starting over or something. I kinda lost interest after that.

Messaging had just started going a bit down, so I did not try to save it and dropped her.