To me, statements like these are the smoking gun. I don't put much into the concerns over "Force is Female" t-shirts and how all the women turned into Mary Sues. Their ideological beliefs may be to blame, but to blame for what? Crappy writing, as far as I can see it. No need to worry about an agenda when the movie was shit anyway. And the Star Wars franchise was already shot when all the Expanded universe got swept out of the canon by a Papal Decree.
She approached the franchise with smugness and an agenda in tow. Heck, if she doesn't have experience with Star Wars or didn't grow up with it, the truly 'PR' response would be to admit with a disarming smile "I wasn't a fan growing up because I never saw it, but you know what? I have an amazing team and I've spent the last [x years] learning about this wonderful science fiction universe."
Expecting someone to show some humility when taking the helm on a 40-year-old multi-billion dollar franchise isn't "fragility" or "entitlement". This is why people hate Hollywood rehashes and remakes, and this is why fans reacted so angrily when they were told to shut up and sit down.
Instead of showing curiosity, excitement, passion, or humility, her answer was essentially asking "who are you to question my
credentials?"
I wonder if Vice Admiral Holdo's dialogue and personality were based on Kathleen Kennedy. Naaaah, that'd be too funny.