The siddur linked within the discussion.
http://www.jtslibrarytreasures.org/Womans_Siddur/I linked the discussion specifically because of the translation provided by
Branmuffinavenger:
This predates schisms between reform, orthodox, and conservative Judaism, unless you'd like to convince me that 15th century Italy is 19th century Germany.
The reddit page you posted has comments regarding the obscure and possibly parochial (Italian) nature of this "women's siddur". Regardless, none of the Orthodox & Hassidic Jews I lived with in Brooklyn for years ever heard of this. Contemporary Orthodox Jews may be akin to Wahabbis, in that they are part of a relatively recent revivalist movement that is founded upon regression to an imagined past glory.
Besides, there are other examples of misogyny in Judaism. Like:
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Not allowing women to pray at the Western Wall.
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Considering menstruating women ritually unclean, requiring the ritual bath, Mikveh.
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Not allowing women to be Rabbis.- According to this Jewish writer,
male circumcision itself is a patriarchal institution:
There they are, the twin patriarchal fears: the fear of woman and the fear of pleasure. Circumcision is both the vehicle and the product, the menace and the antidote, which simultaneously assuages and perpetuates these ancient terrors. This is the achievement and true function of circumcision. Circumcision achieves this by violently breaching the maternal-infant bond shortly after birth; by amputating and marking the baby's sexual organ before he knows what he has lost; by disempowering, "taming," the mother at the height of her instinctual need to protect her infant; by bonding the baby to the community of men past, present, and future and to a male-imaged G-d; by restructuring the family and the society in terms of male dominance; and by psycho-sexually wounding the manhood still asleep in the unsuspecting baby boy. In all of these ways -- socially, politically, religiously, ethnically, sexually, tribally, and interpersonally -- the cutting of our baby boys' sexual organs is the fulcrum around which patriarchy exerts its power. Circumcision is a rite of male domination -- domination and the entitlement of domination over other men, women, and children, both institutionally and personally. It is the essence of patriarchy. -
sourceAgain, keep in mind that all or most of these things are prevalent in ORTHODOX Judaism (along with some Conversative Jews too). You may not like it, you may list a number of reformist reinterpretations, but these are documented beliefs/practices of Orthodox Jewish people.