ANSWER:

As long as her abaya is long enough to cover her feet and would not expose her feet when changing positions during salah then no problem, otherwise she must wear the socks. 

QUESTION: Does a woman have to wear socks if her abaya is long enough to cover her feet ?

Prayer, Women clothing | April 13, 2023 6:22 pm
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QUESTION: When a woman prays, if her hair is wet( because of ghusl), can her hair on the back be seen or does she have to cover herself in the front and the backside? Will she be sinful for letting her hair be exposed on the back?
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QUESTION: Taraweeh is prayed at a local hotel where the men and women are in the same room. The women are in the rows located in the back, but there is no barrier between the last row of the men and the first row of the women. Is it permissible to pray in this setting?