Yep, I'm a writer.
It took me a long time to realize that. I mean, for the longest time I hadn't had anything accepted for publication. And if you aren't published, you aren't a real writer, right?
It took me a long time to realize that yes, I was a writer even while unpublished. I was writing, sometimes not well, but I was writing. I was working at my chosen craft. I read and studied and learned how to write better. I practiced. And now, I'm an award-winning writer.
I think many people have the opinion that if a writer isn't published, then they aren't really a writer. But, that's just not true.
So, if you write, even if you haven't been published, claim the title. You are a writer. One day, you may become a published writer, but even if that never happens, you are still a writer.