Reminder: this characters name is Ferris. And they are Trans. Do not call her a trap. (Here is a thread on why she is trans with evidence)
( this evidence is from the books because a lot of this was cut in the anime )
In her introduction she reiterates to her boss that being called Felix upsets her, and that "It's Ferris, Not Felix." Her birth name is rarely used in the story. This is akin to a trans person's deadname.
in the japanese version of the books she frequently uses feminine pronouns, this fact is also stated on the character sheet.
there is a scene in her side novel Volume EX 1 which shows that for the last 6 years, Ferris has been praying to be a girl, reaffirming herself everyday when she is alone in the mirror.
There is also a scene in EX 1 which shows that she dreaded coming out to Fourier about her birth gender, as she feared that, like other people, he would no longer want to be her friend.
Ferris also states that she will never wear men's clothes again. In an interview on Twitter, the Author stated that the one time she wore men's clothes, she actually cried.