He never texts me first?

I met this guy at work, he's about 7yrs older than me and has a kid. We hit it off instantly, I actually ended up asking for his number, he said he was nervous to ask me because he didn't want to seem inappropriate. We texted for a bit and all seemed well, we made a date and he ended up cancelling because his kid got sick. He also just won custody and apparently it was really messy and expensive.

The past 2 weeks I've been texting him first, when I do he responds quickly but he never reaches out first. Yesterday at work he talked to me and sat next to me and even walked me out of the building. I walked by him today and he didn't see me. But usually I go up talk to him but today I didn't since he didn't see me, but I also don't want to text him first again.

Should I stop texting him all together?
Updates
1 y
So update, I might have been over thinking it. I guess the age gap makes more of a difference than I realized. But apparently he was looking for me all day so, yay 🥰
He never texts me first?
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