“In the original script of the Matrix film, Switch changed genders upon entering the Matrix, which coined their name, Switch. In the real world, Switch would be male, and in the Matrix, Switch would be female – a very clever and critical point of the 'residual self-image' idea. When the actress, Belinda McClory auditioned for the role, she was going for only half the role – Switch's Matrix form.”
https://matrix.fandom.com/wiki/Switch