Is it permissible for a woman to listen to the Friday sermon and glorify God at the same time? And does the verse, "Allah has not made for a man two hearts in his interior," pertain only to men, considering that women are scientifically capable of doing two things at the same time?

Listening to the Friday sermon is obligatory, and it is forbidden to be preoccupied with anything else, even with a supererogatory act like dhikr (remembrance of Allah) or tasbih (glorification of Allah), according to the majority of scholars. There is no distinction in this regard between men and women. Eating, drinking, and speaking are forbidden, even if it is tasbih, returning a greeting, or enjoining good; rather, it is obligatory to listen and remain silent. Allah Almighty says: {Allah has not made for any man two hearts in his chest} [Al-Ahzab: 4]. This includes both men and women, so a woman cannot read or perform tasbih and comprehend what is being said at the same time.