There's no such thing as a "real woman"; woman as a label denotes gender (femininity), not biological sex. Like most identities, it too is just a social construct, but it doesn't mean it's not there. I've already cited scientific literature on the relationship between gender identity (i.e. your innate sense of identity, which may/may not reflect the stereotypical gender norms) and brain structure. It's well-established that transwomen have neuroanatomy that has more female-like characteristics than, say a cis-male brain. Whether you're a transwoman or a ciswoman, your innate sense of feminine (woman) identity is still constant, regardless of your differences.
They're not scared of admitting they are transwomen, and they
are women, for all intents and purposes. They're just not cis-women. Again, why is this so hard for you to comprehend? Stop constraining the woman label to mean a PC way of saying biological female with specific chromosomes and sex characteristics when it has nothing to do with biological sex as understood in literature today. If you're going to constrain it to a specific set of physical characteristics, why stop there? Why not exclude women from your made-up category of "real women"? What about those cis-women who've never menstruated in their lives? They're not real women either, right? What about those women who've lived their lives as women, with all the sexual characteristics of a cis-female, but then later discover that they don't actually have XX chromosomes? Are they not real women?
I'm not fitting anyone in any category; on the contrary, I recognise that different experiences and physiologies have very little to do with internal, gender identity. You're the one who's stuck on an obsolete notion of "real men/women" that is a) scientifically misinformed, b) contrary to current legislation (believe it or not, lawyers are not idiots) and c) harmful to women? It's pretty shameful and intellectually dishonest to ignore scientific and legal consensus and team up with Mr "Unicorn" generelee to present worthless, fallacious comparisons in a truly bigoted fashion to undermine the identity and dignity of one of the most oppressed and misunderstood communities. Oh well.
https://medium.com/@juliaserano/debunking-trans-women-are-not-women-arguments-85fd5ab0e19c