Because Eve did not produce the seed, the Messiah, that would crush the serpent’s head.Also, a sinful imperfect woman cannot produce a perfect seed let alone any woman producing seed
Eve was to become the mother of all those humans living on Earth and she did. grand grandly.
All connected with the imaginary lady in the OP, where of the genetic pool of the first female. including noah, judah, david, Mary, jesus, Fr. Franz.