Who did not reshape mathematics, unlike Emmy Noether.
Yes. When I read the headline, I thought it was going to be about Noether. Even then, I'd argue she reshaped physics, not mathematics itself, unlike, say, Galois or Gödel.
Emmy Noether had a comparable background and had her problems with academia, too
Yes, Emmy Noether was a pure genius (one of the greatest mathematician of all time), and was never named full professor (even though she had Hilbert support).