Social media. Get on Twitter, LinkedIn, and Instagram. Share your art regularly.
If you drew a character from a show or comic, tag the director, a writer, board artist etc, anyone who is involved with the production. Follow everyone who works on the shows you like. It might seem like the head writer, art director, or show runner is the best, but they’re often the most busy. Follow them, but also follow the people in the other roles like a standard writer or board artist. Then, once or twice a day check your feeds and reply/comment on some of the posts. The key is to make it posts you actually have something to say on, dont just randomly reply with emoji or “cool!”
All of these people just want to interact with normal people who like the same stuff they do, and a lot of these animation types are big nerds and will love talking about similar stuff we do here. Obviously stay professional, keep swearing and slang to a minimum, and most importantly, DON’T BE ANNOYING! Don’t hit the same person up multiple times a day every day. At most reply/tag them twice a week. Often times just favoriting a post and moving on will be enough to keep you in their minds without being pushy.
Also, have your real name and face on your accounts. No smug anime avatars and witty nicknames. Even though plenty of animation guys have art as the picture, you are an outsider, so you need to play by different roles.
Lastly, join some of the different organizations. They may sound like cancer, but they truthfully aren’t they pushy and you don’t have to agree with their message to get by and use their events. I can promise you, 90% of Women in Animation and LatinX in Animation members don’t give a shit and are only their to network and attend panels.
Remember, this won’t be a fast track. It’ll still make months to build trust and a network, but if you stick to it and be consistent, you will succeed