The fact she is a woman is different than the majority, however there are other women at LMG and most likely/hopefully, not all the men at LMG are sexist so most likely at least one person from one of those camps would object/want to do/say something (I would hope little to none would be sexist, but we don't work there so we don't know)
But the point she is a woman makes it more likely/harder is entirely valid, yes