I was thinking about this last night while running. I may never look like what I think a runner should. My clothes didn't match, I don't have all the best equipment and my belly is not flat but I have the need to run.
Half my run I spent thinking about Winter gear that I would try to buy off season on sale so I could continue to run as much as possible year round.
That alone makes me a runner no matter what I think I look like.