I say assembly because she was already there within the man. God had blown "Hayim" (life, complete, plural) into man's nostrils and had not needed to repeat that step.
Wow! This is really deep and takes understanding to a whole new level. Then the presence of the Creator then can not be overemphasized in reversing the process back to one for both man and woman.
Thank you so much for this insight.
This is but one of the examples that bring the depth of the Hebrew text. Every word, every thing, every action has a gender and a meaning as well as a number and it all rolls together like our fingers naturally fold together comfortably on our laps.