A committed Muslim woman is required to cover her `awrah (parts of the body that should be covered in front of others), and to keep her Muslim identity in public.

Referring to the aforementioned fact, Allah Almighty says: “Tell the believing men to lower their gaze and be modest. That is purer for them. Lo! Allah is Aware of what they do. And tell the believing women to lower their gaze and be modest, and to display of their adornment only that which is apparent, and to draw their veils over their bosoms, and not to reveal their adornment save to their own husbands or fathers or husbands fathers, or their sons or their husbands’ sons, or their brothers or their brothers’ sons or sisters sons, or their women, or their slaves, or male attendants who lack vigor, or children who know naught of women’s nakedness. And let them not stamp their feet so as to reveal what they hide of their adornment. And turn unto Allah together, O believers, in order that ye may succeed.” (An-Nur: 31-32)
With respect to non-Mahrem men and non-Muslim women, a woman’s `Awrah is her entire body with the exception of her face and hands.

Regarding the woman’s feet, it should be clear that Muslim scholars have differed concerning whether or not woman’s feet are `awrah. The majority of Muslim jurists state that the woman’s feet is `awrah, and therefore they should be covered in front of non-Mahrem. However, the Hanafis maintain that the woman’s feet are not `awrah.
Having stated that it is a controversial issue among Muslim jurists, it is preferable for a Muslim woman to cover her feet during Prayer or in the presence of a non-Mahram. However, in case a Muslim woman uncovered her feet during Prayer or in the presence of a non-Mahram, there is nothing wrong with that based on the opinion that does not consider woman’s feet as `awrah, provided that no temptation is feared.