Always text initiator?

Here's my situation if you're curious:


Anyways the girl I've been talking to hates to talk on the phone. I knew this about her even before we were talking. But with her gone for a couple of months I want to stay in contact at least a little. But I noticed I'm the one who texts her. She never texts me first. Granted she always replies and have a little text convo. But I was just wondering do you think this is an extension of her not talking on the phone thing and she doesn't like texting either? I figured it would be that or she has been busy for the past couple of weeks or maybe she has a traditionalist view and waits for the guy to text first. Just want your opinion on this. And assuming she IS interested, at what point would you consider it annoying to get so many texts from a guy because that's what I feel like when I text her, that I always text her she will be annoyed about it (she hasn't said this)?
Always text initiator?
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