I wouldn’t call every critic of genderism ‘gender critical’. Although genderism is sexist with a self congratulatory veneer of progressivism, mainstream Tory thinking (like Guido Fawkes’ blog) is very often also sexist too. (As is Labour thinking, and Lib Dem and the Greens, so pretty much all the voting options right now 
)
I’ve been reading Guido on and off over the years and it’s often preoccupied with women as being patriarchally fuckable or not, so ‘totty’ (in the kindest descriptions.. eg his ‘TottyWatch’ series). It covers lesbian issues for titillation and so on. The BTL comments about women are often vile. No real engagement with women’s issues.
Guido Fawkes writers just dislike wokeness. That’s a widespread right wing view. If there are some eventual benefits to women, girls, or safeguarding of right wingers making any progress with that view, then those benefits are largely incidental. There could equally be other harms arising to women if they gain any traction, because the patriarchal thinking is still entrenched- hence many women still feeling politically ‘homeless’ and feeling we need to keep re-stating a women’s agenda whoever is in political ascendancy at any time.