Here the art book for Catherine refers to Erica, a trans woman, as Eric. It also seems to list her sex as male.

Additionally, in Catherine, Erica is insulted by her alleged friends, who accuse her of not being a real woman. She is given nightmares exclusively given to men. The nightmares themselves are punishment for not revealing that she was trans to one guy she slept with.

Beyond that, a character in the game also says that sex with Erica was “weird”.

All in all, the game is thoroughly transphobic and deserves no praise for its representation of trans women.

Toby: Man, I’m so jealous. Life is so friggin’ unfair ya know? I’m never gonna win big like him– Ah! Erica!

Erica: Oh, don’t you worry now. We’ll always have each other, sweet pea.

Toby: Ahhh! The other guys knew you as “eric” back in school! I want my damned V-Card back…!

Erica: Sorry, but once that hole is punched, there’s no refund!

Toby: Awww…!

Some people say that you find that romantic “spark” when you encounter someone who compensates for your own flaws. By doing so you can find an idealized version of a personality completely opposite to yours, through a romantic relationship. In a nutshell, you’re trying to get rid of the self you hate through romance.
—  Sheep with Glasses (Justin) | “Catherine”