I think chuck Wendig nailed it (again) in his post 25 Things I Want to Say to So-Called “Aspiring” Writers.
If you write, you’re a writer. If you don’t, you’re not. If you want to write but aren’t doing it, maybe then you can call yourself an aspiring writer. But if you’re doing the work, OWN it. If you’re dragging your ass out of bed early, fitting in a few sentences while the kids are sleeping, or maybe banging out five words at a time at stoplights*, you ARE a writer. Even if you’re unpublished. Even if nobody wants to read it. Even if those pages are going straight into a box under your bed, or into a bonfire.**
As always with Mr Wendig, language warning. But there’s nots of great advice here regarding things other than what we call ourselves. Worth a read.
I also liked this:
“Self-publishing is a viable path. It is not, however, the easy path. Get shut of this notion. You don’t just do a little ballerina twirl and a book falls out of your vagina. (And if that does happen, please see a doctor. Especially if you’re a dude.) It takes a lot of effort to bring a proper self-published book to life. Divest yourself of the idea that it’s the cheaper, easier, also-ran path. Faster, yes. But that’s all.”
*Seriously, though, don’t do this.
**I also don’t like the term “baby writer” or anything else that sounds condescending to people who are newer at this. I think “novice writer” works. But that’s another topic.