Pardon me while I wax philosophical for a moment.
Do you write? Congratulations, you're a writer!
That's one of the many things I love about writing, you see. There is no test, no professional qualification. Intent has nothing to do with it. The act of writing is what makes you a writer, and no one can say you nay.
As writers, our journeys will all be different. We each bring our unique experiences, opinions, and outlooks to our stories. And we're all of us at different places along our writing paths. No matter where you happen to be on your writing journey, I bet you're in a different place today than you were yesterday or last month or last year, and you'll be in a completely different place tomorrow and next month and next year than you are today.
Just remember, there's no official timetable, no deadline by which you must reach specific milestones. Your writing journey is yours alone, and it will be a different journey from mine and from every other writer's. Isn't that exciting? You and I may start with the bones of a similar plot, but I assure you my story will in no way resemble yours. Only you can tell your story, and if you don't, the world will be the poorer.
Writing makes me look at the world in a different way. I'm constantly questioning, asking what if? I notice details I may have skipped over in the past. I see the world through fresh eyes, and that can only be a good thing.
I'd like to leave you with the following thought. In the long run, it doesn't matter whether you're already published, whether you're writing with publication as your end goal, or whether you have no intention of ever being published. At the end of the day, the only thing which matters--the thing which makes you a writer--is that you write. The rest are just details.