There is no difference between men and women regarding the ruling on being coerced into uttering words of disbelief. Whoever is subjected to genuine coercion may utter words of disbelief with the tongue while the heart remains firm and reassured in faith. If a woman is threatened with rape, she may avail herself of this legal concession, and in fact doing so may be preferable, because protecting one's honor is one of the great objectives of Islamic law. Outwardly uttering words of disbelief under coercion carries no sin as long as the heart remains steadfast in faith.
If a Muslim man or woman is genuinely compelled to utter words of disbelief through a credible threat—such as being killed or severely tortured—it is permissible to utter them with the tongue only, provided that the heart remains firm upon faith.
Allah says:
"Except for one who is forced while his heart remains secure in faith."
(Qur'an 16:106)
This verse establishes a legal concession for those who are truly under coercion.
Yes.
There is no distinction between men and women regarding this ruling.
If a woman is forced to utter words of disbelief under the threat of death, she may utter them while her heart remains firm in faith. She also has the option of remaining steadfast and refusing to utter them.
If the coercion is a threat of death, both options are permissible:
Remaining steadfast is generally considered the more virtuous choice, but it is not obligatory.
If a woman is forced to choose between outwardly uttering words of disbelief and being raped, she may utter the words with her tongue while her heart remains firm in faith.
In this situation, it appears preferable to avail herself of the legal concession, because outward speech made under coercion does not harm her faith, whereas the violation of her honor is an immense harm that cannot be undone.
No.
If the coercion is genuine and her heart remains firm in faith, she bears no sin.
Islamic law removes blame from the person who is truly coerced and does not hold them accountable for words uttered under severe threat and fear.
And Allah knows best.