She was a product manager not an engineer. Her greatest accomplishment according to her was keeping the home page simple by only including the search bar. She also made the right decision to invest heavily in google maps.
You also left out the part where she slept with the founder during her time at Google, which undoubtedly gave her a leg up for promotions.
> then took on the impossible task of rescuing Yahoo when no comparably experienced man wanted to step up to the plate
She took it because she struck a sweat deal with board. In exchange for forgoing her google shares, she was able to reap 300 million in 4 years despite having an abysmal performance. Give any experience man that type of deal and I assure you there will be many that step up.