I suggested weaning just for your own anxiety concerns. I drink coffee every day and get a headache by midday if I haven't had any! Anything habitual can give you a bit of a withdrawal, so since you're already anxious it would make sense to ease out of it if that's what you want.
The mornings are always so hard for me when my anxiety is high. I've read about it, and it's common because cortisol levels rise to wake us up, but that can also cause anxiety in some people. The best thing to do is get right out of bed (easier said than done!)
What book are you reading? I'm always looking for something but so bad at choosing!