Women, the elderly, children, sick হাজীগণ, and those who are weak or have difficulty with crowds are permitted to leave মুযদালিফা after midnight (or after the moon sets) according to the consensus of scholars from all four schools. This is a confirmed Sunnah concession granted by নবী করীম (সাল্লাল্লাহু আলাইহি ওয়া সাল্লাম) himself. He sent the weak members of his family, including his wife Sawdah and others, ahead from মুযদালিফা to মিনা during the latter part of the night to avoid the rush of the main body of হাজীগণ departing at dawn.
Sheikh Ibn Baz explained that the concession is available to all who have a genuine reason for early departure, including women who want to avoid the extreme crowding, elderly হাজীগণ, those with small children, and the sick. These হাজীগণ may proceed directly to মিনা and stone Jamrat al-Aqabah before dawn, which is permissible for them based on this concession. Strong, able-bodied men should remain at মুযদালিফা until after Fajr সালাত, following নবী করীম's own practice.
Sheikh Ibn Uthaymeen specified that the earliest permissible time for departure is the latter half of the night (after midnight), based on the narration that নবী করীম sent them ahead 'at the end of the night' and the moon setting. He cautioned against departing too early — shortly after Maghrib and Isha সালাতs — as this would mean the হাজী barely stayed at মুযদালিফা at all. Those who take this concession should still pray Maghrib and Isha at মুযদালিফা before departing.