Will a woman obtain the two absolutions mentioned in the Hadith if she prays for forty days in congregation without missing the opening Takbir, and what should she do when her menstrual period arrives during this time?

Women are not deprived of the virtue of attaining the opening takbir for forty days, even if menstruation occurs during that period, as long as their intention is to be diligent. A mere intention, even without action, is rewarded, and whoever intends good and performs as much of it as they are capable of, but is then unable to complete it, will receive the reward of one who completed it.