The reasons why girls and women may feel unable/unwilling to share certain spaces/services with those born male should not be so easily dismissed as 'bigotry'. Those who have contributed to a climate where this is even possible must consider the wider, serious implications...
This.
We cannot be creating safeguarding policies (or law) based on the fictional idea that because a male says he feels female he becomes exactly the same as a girl.
Telling people this is a bigoted position is clearly wrong and just plain dangerous from a safeguarding perspective.
Not because people think trans people are dangerous or bad or shouldn't have rights. But because we have policies based on biology not how people feel.
Someone with a penis doesn't have the right to go in girls showers or sleep in their tents just because he feels like it. That should be bloody obvious to anyone responsible for child safeguarding.