And where does Christ's Incarnation come in this? Is Christ not infinite? Human nature is finite, yes, but sanctifying grace is infinite and both men and women both being human can obtain it from God. Men and women have the same nature. Their accidentals are different though just as every man's are.
I am unable to answer your question, for I do not comprehend the Incarnation.
Who does completely? That is why it's a Mystery.
I do know that he assumed the nature of man rather than woman.
No, He assumed human nature and the male gender. He assumed the nature of women as well for women are also human though he was a man and not a woman. As St. John wrote "And the Word was made flesh and dwelt among us"
The differences in man and woman determine that one is overall a creature of higher goodness. The highest good of the human nature is the intellect, and the highest faculty of the intellect is reason. It makes me sick when women try to equalize themselves with man.
This is basic Catholic doctrine here: there is no essential
difference between men and women. Both men and women have intellects if both didn't then both could not be Catholic nor assent to the Catholic faith.
edit: One thing that must be understood by you all: a lower good does not indicate a less perfect good. The angels in heaven are all perfect but there is a hierarchy of angels.
Heirarchy denotes order not power nor nature. Just because nature has a heirarchy does not mean that one creature is lesser than another of the same nature. All the angels are equal in nature though not in grace just as we.