What is the ruling on a woman praying in a moving car during travel, to avoid praying in front of people, and out of a desire to perform the prayer on time?

Obligatory prayers performed in a car are not valid unless it is possible to stand, perform rukoo’ (bowing) properly, and achieve full tranquility within it. If these pillars cannot be fulfilled, then the prayer is not valid unless there is a valid excuse preventing one from dismounting and there is a fear of the prayer time expiring.

A woman must pray the obligatory prayer even on the side of the road or in public places if she cannot find a private place, while taking care to maintain her modesty.

It is not permissible for a woman to travel except with a mahram.