What your mother does is notmrequired at all, she’s burdening herself unnecessarily and it would be a biddah if she thinks that it’s essential in Islam to put on a scarf in front of mahrams. Kindly refer to the following link(s): https://islamqa.info/en/82994
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No problem as denim shoes are worn by both males and females.
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If there are no segregated hospitals, she must remain covered all the time whenever there are non mahram men around.
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The feet must be covered during prayer whether with socks or a long dress. Kindly refer to the following link(s): Ruling concerning women covering their feet in prayer | By Assim Al Hakeem https://www.youtube.com/watch?v=6zSOyAW4-VY https://www.assimalhakeem.net/what-is-the-ruling-for-woman-praying-or-going-out-in-open-shoes-without-socks/
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It is not permissible to work in a place that doesn’t allow you to obey Allah the Almighty! Do not compromise your beliefs for anyone. It is sinful.
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Wearing a jacket underneath her abaya is permissible. Wearing a backpack would expose the size of her shoulders and breasts usually and this is not permissible.
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If you go out with this, yes it is. But if you do it in your own home, this is permissible.
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She should continue to wear it and you must tell your husband not to shift there as such mixing is not permissible and it is unhealthy as well.
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You cannot take off your hijab and mix with men, you must find another alternative or quit.
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The prayer is valid but you are sinful for keeping and wearing such clothes.
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