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. 

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ANSWER: This is totally prohibited and if done intentionally, her prayer is invalid! She must completely cover herself from head to toe, except for face and hands while praying and a very loose abaya over your normal clothes and a scarf that covers all your hair and chest area does the job perfectly. 

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