Ok... looking further into this the OP tweet seems to have issue with not HJ, but the organisaion "fairer disputations" which is an organisation I've never heard of.
Looking at their web page they seem to have a range of voices discussing "sex realist feminist" some of whom are Christians and Evangelists. Nina Power seems to be one of those looking at her substack. Although Nina doesn't claim to be a feminist, rather a female philosopher going by her twitter handle.
ninapower.substack.com/
Mary Harrington also writes for them, who I admaire and often has good points to make, but I don't always agree with her.... looking at the "featured authors" section you can see the types of authors it hosts.
A bit of further digging on the website reveals It is part of the Abigail Adams institute's "The Woolstonecraft Project":
The Abigail Adams institute is a rather conservative leaning educational instituation linked to Harvard university.
The Wollstonecraft Project aims to guide, facilitate, and support scholarly engagement in questions of sexual equality and freedom, as philosophically informed by realist metaphysics, virtue-based ethics, and a Wollstonecraftian understanding of rights grounded in responsibilities.
www.abigailadamsinstitute.org/aai-wollstonecraft-project
My bold because I regocnise those as particularly religious philosphical persuits I've bolded it because looking into some of the authors reveal's it's Catholic leanings.
Faculty include:
Erika Bachiochi - Catholic
Angela Franks - Writing Fellow for Church Life Journal
Serena Sigillito- Another Caholic
Rose Elvidge - Who there is not much information about other than She works at the Cantebury institute.
Does that mean Helen Joyce is a Catholic? Or far right adjacent? No.
But it does mean, that like nearly every publication of this type, it has a particular lens. Which is Catholic, conservative, pro-nuclear family.
So, going back to the tweet in the OP, one can ask the question:
Can a catholic who opposes abortion on the basis of religion and their particular branch of "realist metaphysical", "virtue based" theist philosophy, really be a feminist? Or is there an internal contradiction between the teachings of Catholicism and the goals of feminism?
As always Twitter seems to be a terrible medium for this sort of discussion.