It is better for a woman to enter the state of ihram wearing slippers, and she is not permitted to enter ihram wearing gloves

Question: His Eminence Shaykh Abdul Aziz ibn Abdullah ibn Baz, the Grand Mufti of the Kingdom of Saudi Arabia and the President of the Committee of Senior Scholars and the Department of Islamic Research and Ifta, was asked about the ruling on a woman entering the state of ihram wearing slippers (with a shaddah on the ra) and gloves, and whether it is permissible for her to remove what she entered ihram in.

Answer: His Eminence replied: It is better for her to enter ihram wearing slippers or sandals, as this is better for her and more concealing for her. If she is wearing loose-fitting clothes, that is sufficient.
His Eminence added: "If she enters ihram wearing slippers and then removes them, there is no harm, just as a man enters ihram wearing sandals and then removes them whenever he wishes; that does not harm him." However, His Eminence affirmed that she is not permitted to enter ihram wearing gloves. He explained this by saying: "Because the woman in the state of ihram is forbidden from wearing gloves, and likewise the niqab; she does not wear it on her face, nor the burqu' or the like; because the Messenger of Allah (peace and blessings be upon him) forbade her from doing so." His Eminence affirmed that she must lower her khimar or jilbab over her face in the presence of men who are not her mahrams, and during the tawaf and sa'y. He cited the hadith of Aisha (may Allah be pleased with her), who said: "The riders would pass by us while we were with the Messenger of Allah (peace and blessings be upon him). When they were level with us, one of us would lower her jilbab from her head over her face, and when they had passed, we would uncover it." It was narrated by Abu Dawud and Ibn Majah.
As for the man, His Eminence Shaykh Ibn Baz said: It is permissible for a man to wear leather socks (khuffayn), even if they are not cut, according to the correct opinion. The majority of scholars said they must be cut. However, His Eminence added: "The correct view is that it is not obligatory to cut them when sandals are not available." He cited as evidence that the Messenger of Allah (peace and blessings be upon him) addressed the people at 'Arafah and said: It is agreed upon by al-Bukhari and Muslim. His Eminence, the Grand Mufti of the Kingdom of Saudi Arabia, concluded his answer by stating that the Messenger of Allah (peace and blessings be upon him): "Did not order them to be cut, which indicates that the command to cut them was abrogated."