Reference: Fataawa Noor ‘alad-Darb – Question No.6363, Page 196, Volume 12
Question: Is it permissible for a menstruating woman to send prayers and salutations upon the Prophet ﷺ?
Response: Yes, it is permissible for a menstruating woman to send prayers and salutations upon the Prophet ﷺ, as well as to utter all of the legislated supplications [authentically] reported from the Prophet ﷺ.
She can also utter the supplications from the Book of Allaah (‘Azza wa Jall), and that is because she is not prohibited from engaging in the remembrance [of Allaah], rather that which the scholars have differed over is the prohibition of her reading the Qur.aan. And that which is correct, is that it is permissible for her to read the Qur.aan out of necessity, such as if she wanted to teach [someone] or learn, or even read the legislated supplications [authentically] reported from the Prophet ﷺ – such as Aayatul-Kursee. Indeed, [regarding] Aayatul-Kursee [the Prophet ﷺ said] whoever recites it at night [before going to bed]: