From the article
She and her 160 or so fellow Man Friday activists balk against enshrining in law changes that would allow self-identifying men into female spaces such as single-sex hospital wards, changing rooms, loos, refuges and prisons.
This is a great example of the misleading and vociferous campaign against transgender people in the (far) right wing press. And also of the misleading aims of Man Friday.
The proposed changes to the GRA will not give self-identifying men (or even self-identifying transwomen) the legal right to enter sex segregated spaces.
There is a debate to be had over whether giving self-identifying men the legal right to enter sex segregated spaces is a good thing. There is no debate to be had over whether the government's proposed reforms would enable this - they won't.