When people's identity is threatened, they reaffirm it. At least some of what you see as entitlement I see as insecurity.
People do react badly when their identity is threatened. That's exactly why TIMs should not be anywhere near women's spaces. They are not women. There is no such thing as an innate gender identity. Nobody is born in the wrong body. The self and the body cannot be separated - unless you believe in eternal souls. Some people have dysphoria. This is awful and sometimes medication and surgery can ease it. But it's still the same self inextricably attached to the same body.
No adult human can expect the entire population to validate a false identity. It's an unachievable ambition. If someone's identity is both false and fragile and comes with a side order of narcissism, they are not only upset when their identity is not validated, they also become a risk to others.
It is not up to women to manage this risk. It is not up to women to pretend that they have suddenly lost the human ability to discern sex at a glance (we can do that, regardless of costume or transition status, in 99.99% of cases). It is sad for a dysphoric individual that they experience material reality - and other people noticing it - as personal injury. But that's not my problem when I'm in a single sex space, which was created precisely to protect me from disordered males who present risk.