Adler deliberately has his team filled out with people who know how to deal with brainwashed operatives like Bell.However, it also turns out that Adler was going to kill you in the good ending once You Have Outlived Your Usefulness.

At first it would appear that way because you're one of Perseus' members. Perseus's warning in Bell's mind said not to trust Adler.And as far as the character's actual physical appearance goes, the game's heavy emphasis of memories controlling the person might as well be Your Mind Makes It Real for Bell.

It's literally a psych profile it's the new identity and personality that Bell is being brainwashed with, which means the gender perception is also entirely in Bell's perspective, and events like potentially being a female soldier in the MACV-SOG unit never happened because as false memories, they were never in that operation to begin with.

The psych profile that acts as a character creation for Bell seems weird for emphasizing gender and race in the 80's, particularly with regards to the fact that they were even boots-on-ground with Adler in Vietnam, even if they were female or non-binary.

Call of duty black ops cold war bell