Egg in this case is slang to mean someone who is trans and in-denial of it. The Egg Prime Directive means that you can’t go calling random people eggs, though officially it’s a bit more complex.

They’re calling OP an egg, in blatant and direct violation of the Egg Prime Directive.

I know that, but you’re still more deserving than we are.

Who told you or implied you weren’t? Under the Egg Prime Directive that is not allowed.

Seriously, it’s really not okay to go around telling other people that they are or aren’t something personal and self-defined as gender identity.

Yes it is.

France should demand the Statue of Liberty back, we don’t deserve it anymore. They’re more deserving of it than we are.

That is a simplified way of putting it (It’s actually more complex and nuanced) but yes, that is the gist of it.