It will need to be proved that the child in this case was / is at risk of actual harm from gender ideology so that the teacher was right to access and share that information, and that the teacher was not just accessing and sharing that information to try and fight her suspension / warnings, or to bolster her own personal arguments(potentially also idealogically-driven given the involvement of certain Christian campaign groups) against the child's social transition.
It is confusing why she needed to divulge the child’s name? Would that ever necessary to bring her case?
Although the EA says religious beliefs are protected, maybe really they are just seen as ideologies.
The protected characteristic “Gender Reassignment” would no doubt not be seen as an ideology.
Nobody wants to protect Christians or Muslims against transgender policies as those are part of being the all encompassing LBGTQ+ which includes being gay.
People of those religions are seen as bigoted fundamentalists if they do not endorse anything LGBTQ. It is not wise to say you are Christian if you want to object.