The man/woman relationship has a theological history as we have noticed. It was not good for man to be alone, and any married man who has had to fend for himself when his wife has been away will say "Amen" to that. There are certain qualities lacking in the male personality, so it needs to be balanced and complemented with the tenderness and intuitions of the female; and to further quote from the wise sayings of the book of Proverbs (12:4) "A virtuous woman is a crown to her husband."
It does seem that in their pristine state Adarn and Eve had complete equality, "Bone of my bone and flesh of my flesh", the two complementing personalities making a complete whole.
The phrase 'My better half' is sometimes used when referring to one's spouse, and Milton put it even more dignifyingly in Paradise Lost. He wrote of “Thine other self.”
Although the Bible gives quite a prominence to the male, in that they were prophets, apostles and writers of the Scriptures, it also has a lot of good things to say about the female, and particularly since the coming of Christ, they have enjoyed a tremendous emancipation. In olden times it was even queried if she had a soul, whereas now she is appreciated as a valued person in her own right; not just a child-bearing instrument or so-called second class citizen, but one with particular qualities and expertise.