Software and systems engineering are in my experience the most meritocratic niches in IT, and probably IT itself in general as well. If you have the skills, you'll get the chance to do it.
Good luck and don't let nonsense like this get in your head. If I'd believed messages like this back when I was trying to get a foothold, I would not be where I am today.
wow that is not true there bud.
i was a software engineer and went to construction because i burned out. but i never had a degree in comp sci and i got jobs rather easily.
Having a degree when you're looking for your first SW role almost certainly will improve your chances.
Not having a degree won't help, particularly when you have no professional experience, but it's not the end of the world.