Anyone who has mastered the rudimentary skill of wielding a pencil and putting the letters of an alphabet into some coherent order that conveys a thought in their brain to your brain is "a writer." This is why we need adjectives: great, famous, wealthy, horrible, boring, tedious, annoying, imaginative, terrifying... I could go on, but I am a writer and I think I've conveyed my thoughts to your brain.

You are a writer, but if you prefer for me to say it, I'm happy to do so. You are also a published author, and I have a couple of your books to prove it, should anyone ask. You are a thoughtful, kind, entertaining, deliberate, and sometimes overly cautious but engaging writer.

The one word I won't use for either of us is "writer of classic literature." Classic literature. No, I'm not sure any of us ever get to apply those words reflexively. They are applied TO us - maybe - long after we're dead. I'm certainly not in a race to get THERE.

See also: https://en.wikipedia.org/wiki/Writer (I refuse to be pigeonholed into just one of the categories described herein, but I do think you ought to broaden your definition - and this is a good place to start. :D )