Woman in Prayer
Almighty Allah says:
Indeed, prayer has been decreed upon the believers a decree of specified times. (An-Nisa’ 4:103)
It was also narrated that the Messenger of Allah (peace be upon him) said: “The best of the deeds or deed is the (observance of) prayer at its proper time and kindness to the parents.” (Muslim)
The “adhan” in Islam is but a signal or a public announcement made as a proclamation to all those who hear it that the time to offer the prescribed obligatory prayer of the day or night is now due. If one has not heard the “adhan” but knows from the movement of the sun or through the mechanism of determining time (watch, clock, etc.) that a prayer time is due, there is absolutely no harm in offering their prescribed prayers.
To get more information about the rulings of offering prayer for women, you can watch this short video with Dr. Muhammad Salah.
Source: Huda Youtube Channel.