What do you think about this girl?

I'm 21 year old guy, known this girl for only about 2 months, met at the gym, only hung out wit her 4 times outside of the gym(she was the one who asked me to hang every time except the last time) so the last time we hung out, i asked her how she felt about me, she said she thought i was a nice guy, fun guy blah blah but she doesnt feel that "connection, at least not yet" so i told her im interested in her and that basically its kind of a waste of time if she doesnt see this going anywhere. So i figured the next week or two she would lay low and not talk to me so much, BUT NOPE, OTHER WAY AROUND. She talks to me ALMOST every day, and then this past week she texted me or Imed me Tuesday-Friday askin me whats up/ what i ate for dinner/if im going to the gym, etc. (I hardly ever contact her first) do u think she is POSSIBLY startin to see me in a diff light? and should i ask her to chill again soon? idk what to do