There are many sayings about the tree that Adam and Eve were forbidden to eat, the famous one is that it was wheat, one is about grapes, and there are also other sayings about figs, camphor, etc. But this tree is not defined by the Holy Quran and its determination is not mentioned in any authentic hadith, so according to the commentators, the best explanation is that what the Quran and hadith have left ambiguous, there is no need to define it. Rather, Allah knows best which tree it was. Also, no action or success of ours is suspended on the determination of this tree, therefore we are not obliged to do this effort. The aspects that are useful for our advice and guidance in the stories of the Prophets, peace be upon them, have been described in the Holy Quran.

Hazrat Adam and his wife Hazrat Hawa were seduced and deceived by Iblis and ate the fruit of this forbidden tree. And consider this work as a means of nearness to God
This tree was a well-known and defined tree among the trees of Paradise, Hazrat Adam was also aware of it, so there is no benefit in trying to determine it
If Hazrat Adam (peace be upon him) forgot to eat the fruit of this tree
And this is right, because it was mentioned in the Holy Quran that if you forgot to eat, then going to eat by forgetting is not a violation, but an error of ijtihad.

A woman cannot become an imam because a woman has not been made an imam in the Holy Shariat and we are bound by the Holy Shariat, so we have to admit that a woman cannot become an Imam. But if a woman leads a nafl prayer and all women are following her example, then it is abominable to become her imam.