The woke mob wants me to affirm that a transsexual woman is, in fact, a real woman. I will not say that. I would be a lying. I tend to pursue truth. Truth does not care about people's feelings.

Ok. Seems to me that you just want a free pass at being an ass.

She is a real woman even though she does not conform to your expectations of what gender is. Here is the thing though: She does not need your affirmation to

1. be real
2. look like a woman
3. live like a woman
4. feel like a woman.

What reason do you have to claim that she is not a "real woman" (whatever that means, I can guarantee that it is not well defined)? Most importantly, if she feels like a woman, even if you disagree on some metaphysical level of nonsense of what is a woman, why would you have the need to tell her what you think? Lastly, why do you think your opinion about her body is important?