Assalamu alaikum. For a woman going on Umrah or Hajj with her husband. Is it still better for her to pray inside the hotel or accommodation, like when at home, or does going to the masjid (Haram or Nabawi) take priority for the special rewards? JazakAllah khair.

For a woman, praying in her accommodation is better for her even in Makkah and Madinah, as the Prophet ﷺ said their houses are better for them, and the sunnah prayers are prayed at home, though going to the Haram is permitted, especially for a benefit such as attending reminders or if she is more active there, as Imam Ibn Baz has mentioned.