No, it is forbidden for a menstruating woman to enter the masjid and remain
there.

During last ten days of ramadan if a female is having her monthly periods, can she ENTER MASJID with others to observe lailaul qadr and sit behind the praying people and keep reading quran and making dua while others pray?

Taraweeh, Tahajjud and Qiyam-ul-Layl |