It's a five - thirty minute game and I get where you are coming from but it's difficult to make a game that short and cover everything.
That being said I hope to one day develop an expanded version that expands on it. Until then I would recommend reading some short essays and books on the topic if you would like more nuance and information.
For a longer text on the topic I'd recommend:
Normal Life: Administrative Violence, Critical Trans Politics, and the Limits of the Law by Dean Spade.
For a shorter essay I'd recommend:
Passing and the Managed Achievement of Sex Status in an Intersexed Person (1967)
by Harold Garfinkel