Noether made important contributions worth talking about, but I'd reserve the "changed the course of physics" qualification for Einstein and those oh his level.
In fact, the reason why they were established was because Klein and Hilbert asked for Emmy Noether's help in figuring out energy conservation in GR.
I disagree. Quantum field theories are often expressed as a collection of symmetries. The ever-successful Standard Model is:
SU(3) × SU(2) × U(1)
Everything else follows because of Noether's theorem. And by "everything", I mean, "every phenomena in the universe that we are aware of except for gravity".