The EquAct does and should fully protect the legal equality of transitioners. Employment law, pay, discrimination, all of it.
The change will just require that biological sex exists, people can group by it and restrict a space specifically by sex to ensure the equality and rights of those people of that sex. Homosexual people can be homosexual. Women who cannot access mixed sex spaces will have accessible spaces. Single sex wards and facilities and same sex health care is protected for those who want and need it.
The issue will be the distress for some that there is a difference identified in law on sex not identity, and that there will be limits on spaces and access for biological males. I sympathise, I truly do. But wanting to deprive those people of that sex from their rights, access, equality and needs being met in order to reduce your own dysphoria? Is not ok. Equality law has to work for all.
And the issue for a few males, who have been abusing this access and power over women, is that the door to continuing to enjoy themselves exploiting the situation will be closed. I'd have to question why anyone would have a problem with this.