It is a profound question, one for which the answer lies in the beginning and not midway through.
In the beginning Yah created, and He put man there to husband His creation. So Yah put intelligence and creativity and sentience into His creation. The main role was to be handled by man, made in the image and likeness of Yah.
Yah also provided a source of knowledge and a connection to the wisdom required to use that knowledge. All was well up to the time when Yah divided the man into male and female, and at some point the female was misled about how knowledge worked and still works.
The tree of life is mankind’s connection to Yah, it allows Yah’s wisdom to flow into man on request, like a faucet where man can control the flow. Using Yah’s wisdom, man can then tap the tree of knowledge knowing intrinsically from his connection to Yah (life) how to use knowledge to the benefit of the environment under his charge.
The woman draws her participation in the tree of life through the man, and the first chink in the armour, we can guess, is when the man gives her the wrong information about the tree of knowledge. The woman believes she must not even touch the tree.
The serpent, in rebellion against Yah, uses this to deceive the woman into eating the fruit, and Adam makes his fatal decision. The woman was deceived, the man chose, using the free will Yah had provided, to disobey Yah and no sin was committed until Adam threw his new found godship into Yah’s face – “she did it, the woman that you gave me”.
In eating the fruit, Adam poisoned himself severing his connection to the tree of life (i.e. death), leaving him bereft of the wisdom to use his connection to the tree of knowledge wisely. So man was out of control, he had access to all knowledge but no longer had the wisdom to understand and control it, to discern between ‘good’ and ‘evil’ as defined by Yah. So Adam used his own puny wisdom instead (godship). And Knowledge was abused even to the corruption of the race by genetic manipulation.
Noah survived the flood because his lineage was pure and free from genetic corruption. He, and his sons had the potential to reconnect to Yah.
That the tree of knowledge consisted of ‘good’ knowledge and ‘bad’ knowledge meant that the user had to discern each time which was which. The connection to Yah (as God) meant that Adam could successfully do this, until, that is, until his link to Yah was disrupted, and from that point, he, Adam, was in control for himself (i.e. a god). The woman was not damaged as such, but because her link was through Adam she too was cut off.
When Paul states that the woman was in the transgression, he is referring to the idea that she transgressed Torah, if unknowingly, and confession and repentance was available and she immediately availed herself of it. Adam too transgressed, but his was knowingly so Adam was cast outside the camp (see Numbers 15).
In the post Yahushua environment of seekers of the way, the woman is still the giver of life, but the man still has the connection to the tree of life albeit damaged and diminished, but they both have an indwelling ‘comforter’ to assist in interpreting ‘good’ and ‘evil’ Yah’s way. Thus the man is the covering and in Yah’s ‘family’ structure there is a teamwork involved: the woman is the lifegiver, the man wrestles with knowledge. For Yah’s first commandment is to go forth and multiply, and the family is the tool Yah provided for the task.
A man’s connection to the tree of life can be restored once he humbles himself and stops throwing his own godship in Yah’s face – “To him who is overcoming–I will give to him to eat of the tree of life that is in the midst of the paradise of God”.