Yes, that would be ideal.

> Girls are far more likely to thrive, get GCSEs and stay in education if they go to a single-sex school, according to new research, which reveals pupils who are struggling academically when they start secondary school reap the biggest rewards of girls-only schooling.

> The analysis of the GCSE scores of more than 700,000 girls taught in the state sector concludes that those at girls' schools consistently made more progress than those in co-ed secondaries.

> The fact that pupils with the lowest test scores when they started secondary made the biggest leap in girls' school will reopen the debate about whether more children should have access to a single-sex education in order to drive up results.

And if talking about UK then there are even more instances in which the church embraced cultural evolution.

https://en.wikipedia.org/wiki/Single-sex_education

And not all Catholic schools segregate by sex.

I didn't mention discrimination against women at all, I don't know enough about catholicism to say if it was a thing.