"Dear Author,
I just wanted to express how much I've enjoyed your writing so far! Your skills are truly impressive, and I'm loving the story. I'm excited to share that I'm working on my own book - my first one, actually! I'd be honored if you'd consider checking it out.
Meanwhile, I'm eagerly waiting for the next chapter of your current work. Could you please update it soon? I'm looking (dying) to seeing what happens next!
Best regards,