This girl that shows interest never text me first should I be concerned?

BigTimer
I started hanging out with this girl back about 5 months ago, we went out bowling with friends. First night she was very touchy rubbing my hands, asking for hugs, and talking about feeling my abs. Few weeks later after work she texted me out of the blue told me to take this online quiz then asked me how day was. We text for about 2 hours. We hung out a few times these past months and I have texted her a few times. Every time I have texted her she always responds and is very responsive, interactive, with a lot of emojis, etc. I have invited her out a few times and she responds saying of course I will be there, along those lines. Last time I texted her out it was a group text and said that anybody can bring someone along if they want and she responds saying you are already coming with a smiley face emoji. We go out have a great time, had her laughing all night. Recenlty I have been texting her more and asked her in person if I was texting her too much, texting at a bad time. She cuts me off and says "what?, No!, No!." Then gives me a big bear hug that lingers for a few seconds. My question is though that I have been the one always texting her for the past couple of months, she only texted me that one time in the beginning when we first started to know each other. Is that a concern? When I see her in person she acts very bubbly, flirty, and touchy toward me. Rubbing my head when I got a new haircut, touching my arms, hands, talking about feeling my abs when hugging me, etc. But has never texted me first since 5 months ago and I always text her first. Once I initiate the text she will talk for a while. Is this a problem I should look out for? I would like a text first everyone in a while lol.
This girl that shows interest never text me first should I be concerned?
4 Opinion