You have a very beautiful yorkie. I recognize the photos from Instagram. I'm one of your followers.
I think if you're going to compete in dog shows, and if it's something for the experience and as a way to bond with your dog, I believe some dog shows have an altered class that is for neutered/spayed dogs. I'm assuming your dog is neutered and was purchased as a pet. Yeah? And there's some more fun-based things at dog shows - junior handling and maybe some other things too. I've actually never been to a show but I plan to in the near future.
However, I've heard from multiple people that, I don't know if it's just maybe people with certain personalities tend to be attracted to dog shows or what, but apparently it's not uncommon for people to make rude comments or roll their eyes or other things like that if your dog isn't up to par. So that's just something to be aware of. Maybe it's just a bunch of old women stirring up trouble when they go to dog shows. I don't know. But whatever.
I'm actually in the same boat as you. I have a girl who, although maybe a little under size at 4lbs, has lots of good features. And I know her brother was kept for show by the breeder. I, just like you, was thinking of having the experience of competing in a dog show. With you being in New Orleans you probably have tons of resources to help you along the path of competing in a show in the future. Like others said, find a mentor to help you and training classes would probably be good I'd imagine.