<human>: So I basically broke up with her last week, telling her I couldn't see her or speak to her for a while because I was more invested in the relationship than she was (she isn't ready to be serious). She didn't want me out of her life, etc... I stayed in touch, we hung out, but it didn't work for me, so I had to tell her I was letting her go for a while. 

She was hurt, said she didn't like the thought, but agreed because she didn't feel like she could handle a serious relationship, that maybe it was for the best.

I told her it was good bye (for now), and decided I would try this "No Contact" thing everyone talks about.

Well it has been just over a day, and she sent me a text message saying hi. *Normally* I have my phone on me all the time (work, etc) and am very prompt with my responses. 

...No Contact would be a lot easier if she didn't message me.

The issue is: It has been 2 hours since she sent me her "Hey", no question, no real reason... maybe just wanted to chat... but I didn't respond, and she just sent another saying "I don't like that you're not responding".

What the heck do I do? I'm pulling away, and I guess she doesn't like it... Do I just ignore her, or do I respond when she contacts me?

Its so uncharacteristic of me not to respond, and she knows what my communication habits are... It just seems so weird to me, but I ultimately want to pursue the relationship, not just date her casually.

Can you condense the text into three sentences or less?
<bot>: She is texting me and expressing that she doesn't like my lack of response to her texts while I'm trying to do this No Contact thing. I want to respond, but am not sure what to do.