Surprised I missed this thread. I want to add my two cents on this.
If Im not mistaken a hermaphrodite is a person born with portions of both genitals. A Long time ago I spoke with a WW2 medic. He claimed he was taught and possibly met one or two of these people and that they tended to be asexual. That is they had no libido, no feeling if you will (not all but many pf them). So possibly there is something plausible to that.
Now the word ADAM in hebrew simply means 'human'. It can indeed refer to a male depending on usage. St Gregory of Nyssa who understood the division of sexes as distinct from the initially created man has some scriptural support in Genesis 5.2:
This is the book of the generations of Adam. In the day that God created man, in the likeness of God made he him;
2 Male and female created he them; and blessed them, and called their name Adam, in the day when they were created.
Now the greek word used in the LXX is anthropos. Same deal, anthropos is a generic word for human. Entymology tells us the word means upright or upward. St Gregory tells us one of the unique characteristics of man is his ability to look upward and gaze upon the heavens and the higher things. One can say anthropos denotes an 'upright creature'.
In Genesis we can say there are four creation stories about us:
1. That man was made in the image and likeness of God
2. That he was made from the dust of the earth and the life giving animation breathed into him.
3. That he was made male and female.
4. That he would leave mother and father and be joined to his wife and two shall become one and multiplying. (Procreation)
Of these the first one is the important one. Now the word 'rib' in greek (plevro) can also be translated as 'side'. Probably even more accurately, depending on translation the word side is used instead of rib many times in hymns and the writings of the Fathers.
In a previous post one said how this division of sexes shows 'inequality'. There is equality in the nature but there is an ordering of those sexes. The male was preordained and anointed to be the head. Its a heirarchial order.
As Jack pointed out God is a monarchy and a Trinity. This Trinitarian monarchy is seen in these creation stories. There is the monarchy derived from that original man; the fountainhead of which our entire human essence originates from. Then the creation stories allude to three hypostasis. The male portrayed as the unoriginate, the female as the originate of the male and the third is that offspring born through woman.
All three (father, mother, child) exist as equal in nature and share of the same essence but there is an ordering. The children are always subordinate to the mother, and she is subordinate to the man in the ordering not in nature. As St. Paul said, woman came from man, but man through woman.