I don’t think it’s difficult to grasp that a person with views at odds with those of the company and who airs them at work is not going to fit in. You cannot be so naive as to think that it would enhance your career prospects at that organisation
So your company is one which, on one hand, likes to appear 'progressive', and take plaudits for employing so many 'females' in senior roles, because you know that women have traditionally been under-represented in such positions, on account of their sex.......
And yet, simultaneously, you do not acknowledge that women exist as a distinct category, nor that they have the right to feel a sense of integrity, dignity or privacy in their sex. you do know equality does not mean similarity or sameness, it simply means equality of opportunity.
There is nothing wrong with 'different but equal'. This recognises the distinct differences of need and provision that relate to different groups or categories of person.
Equality does not mean riding roughshod over people in their own protected categories and spaces. Transwomen are not women/ are not female. They are transwomen. They are different. Make a space for them in your company, but that should not necessitate colonising the spaces and categories of others. Nor does it mean enforcing compliance with anything other with a spirit of general good team work and respect for others. Including your female staff.
This is entirely possible and reasonable.