What is the ruling on a woman praying the "greeting of the mosque" (tahiyyat al-masjid) prayer, and should she pray it even in mosques located in shopping centers, and what should she do if the 'Isha prayer has begun and she has not prayed it?

Tahiyyat al-Masjid (greeting the mosque) is recommended for both men and women. It consists of two or more rak'ahs, whether obligatory or supererogatory prayers, as the requirement is not to sit down until one has prayed. The greeting of the mosque is achieved by performing the obligatory prayer, and it is not legislated to make it up if its time has passed.