Is it permissible to pray Asr while sitting and in a place where the Qibla direction is unknown, due to the inability to return home before Maghrib? And is the prayer acceptable in this case?

Standing is a pillar of prayer and is not waived except in case of inability. Fear of a woman being seen is not an excuse for her to abandon standing. Rather, she must stand and adhere to the Shar'i dress, unless she fears harm to herself, her property, or her honor. If she prays sitting while able to stand, she must repeat the prayer. As for facing the Qibla (definition), it is a condition. For one who is unsure of its direction: if they are in a place where they can ask and they fail to do so, they must repeat the prayer. If they are unable to ascertain it, they must strive and make an effort, and their prayer is valid even if they face the wrong Qibla. A slight deviation from the Qibla does not invalidate the prayer.