Maya - absolutely nowhere in that policy does it say that people have to disclose "the details" of abuse to "earn" any rights, and It really is quite irresponsible of you to spread this kind of nonsense.
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If an institution which serves *both* men and women does not make any reasonable accomadation for people with a transgender identity to be included overall, then that *is* discrimination based on the PC of gender reassignment
. As the EHRC has clarified sex (not gender identity) is a protected characteristic in the Equality Act. 
That can mean offering the option of mixed/unisex/single occupancy facilities so no one is excluded (as YHA can easily do). Forcing women to share communal spaces where they are undressing and vulnerable with male people is not required or reasonable.
