What does it mean when a girl insists to text you instead of you texting her?

So I ran into this girl who I use to go to high school with and we talked exchanged numbers and hung out last Monday, grabbed a drink and caught up with eachother. After we hung out she texted me saying thanks for hanging out with her.

The next day we didn't text or talk to eachother. Then wednesday I text her saying let's hang out soon. She said we will and I said let's hang out Thursday. She replied saying she's busy all week but she has next Tuesday off. I said cool, I'll text her then. But she said that since she's busy with work all the time she will text me and then even insisted that I let her text me on Tuesday..

Does this indicate anything or am I just overthinking stuff..?