I went to college in Cockfosters North London. It was close to Barnet & Finchley, a Jewish area, & I used to baby sit for Jewish families to earn money to see me through college.
Orthodox Jewish religious law says that women should cover their hair when in the presence of men other than their husband or close family members. This can be a scarf, hat or wig. Not all Jews are orthodox. 10 - 15% are, with most in Israel. But the population is growing faster because of high birth rates - projections suggest 1 in 5 by 2040. Israels orthodox Jews, particularly the ultra orthodox Haredim, are growing rapidly & follow strict interpretations of Jewish law (Halakha), often living in segregated communities, wearing distinctive, traditional clothing, and focusing heavily on religious study. Women are not confined but they are expected to dress and behave modestly in public. When I was in Israel & the West Bank it was easy to see who were the orthodox Jews. They are very distinctive.
Muslim women are instructed to dress modestly, covering their entire body except for the face & hands, to honor principles of piety and privacy. This usually involves wearing loose-fitting clothing that does not reveal the body's shape and a headcovering (hijab), though interpretations vary regarding the strictness of covering. I have travelled in the Middle East extensively & always felt very uncomfortable seeing the women covered from head to toe in black flowing robes, often made of polyester. I adopted the covering rule, but wearing lightweight cotton & was still uncomfortably hot. In Yemen I was spat at & harrangued because my headscarf had slipped showing a little hair. But that was fairly isolated, most Middle Eastern countires were really hospitable.
Christians are not as focussed on modesty in women, but Amish, Mennonites, and some Catholic or Orthodox traditions encourage modest dress (e.g., covering shoulders, long skirts, head coverings). Historically, women wore chapels veils or head coverings
Hinduism & Sikism also emphasise modesty in women, hijab in Hindu traditions & humility with garments like the ghunghat or chunni often covering the head.
Ostensibly many faiths use head coverings to symbolize humility and submission to God or higher spiritual authority. Additionally supposedly covering curbs the male gaze & disrupts objectification signalling the woman is not available.
I have a real difficulty in accepting that this fairly universal religious treatment of women is anything other than a form of patriarchal control and a means to blame women for male behavior. Some interpretations suggest the historical, cultural roots was to mark women as "respectable" (owned by a man) versus "unrespectable" (uncovered).
There is argument as to whether the bible or the quran actually unambiguously requires women to cover their hair & bodies. The interpretation of the texts has been done by men. Men have dominated religion for milennia. I remember being in the cathedral of Santiago de Compostela after travelling the Way of St James. The only woman among a lot of clergy, in embroidered robes, officiating at the service, was a nun, in a plain grey habit, who led the singing.
Some religions have become more female friendly, but there is still has a long way to go. Mary Magdalene was a prominent disciple of Jesus & was told by him to announce his resurrection according to the bible. But she has largely been dismissed as a prostitute rather than a model for redemption.
Until religion really treats women in the same way as men & gives them equal standing, freedom & power in all ways I will continue to feel that, at it's roots, religion is misogynistic.



