I agree the link is totally tenuous, but there are a number of disparate groups that share a criticism of gender ideology. Fundamentalist Christians in the US are "anti-trans" because it undermines their preference for fixed gender roles.
This isn't the reason that gender critical people dislike gender, because they instead want to remove as much of the arbitrary societal baggage that follows from being a woman or a man.
For the Christian fundamentalists it's not just a religious motivation. Other religions prefer transition as a homophobic solution to same-sex relationships.
Zoe Williams would do better to understand the arguments being made, rather than parroting nonsense.