She's worked on hard problems before. No matter the type of problem, I impute an advantage to that person in other hard activities, even if they're unrelated. E.g. I believe that someone who earned a Harvard mathematics PhD to be more likely than the average person to be able to earn a Yale Microbiology degree.
As for working at NASA, she was doing hard science research on a type of spectrography, for which she was given multiple awards by NASA Ames Rearch Center. So yes, I do consider the multitude of indications of her intelligence to be directly relevant.
This negativity reeks of "she's not part of our West Coast club" and people with no knowledge of the technology are making blanket assertions that its impossible. That's wrong.
If this company had a valley pedigree and a male founder, I'm sure I'd be reading all about the amazing self-charging forthcoming revolution.