Maybe start on the disconnect between JKR's work & her private opinions.
She can't have it both ways being the point.
Whilst its one thing to be concerned about the practical logistics of competing rights between trans women & women its quite another to stereotype trans people as either confused tom boys or dangerous predators which her 'manifesto' implied.
JKR could have had it both ways by focusing on a civilised discussion about balancing rights but chose the path of dehumanisation & demonisation instead causing the disconnect.