I’d rather he petition to allow priests to marry. There is historical precedent in the past for married priests.
OTOH, I have not actually seen any historical precedents in the Christian church where women were ordained priest.
Just my humble opinion.
To my understanding, there is historical precedent for allowing married men to become priests, not for allowing priests to marry.
Freegards
There's certainly no precedent in the Catholic Church for a woman being ordained priest or bishop, but the cardinal may not have intended to challenge that tradition.
St. Peter was married.