I've only skimmed it; about to delve in for a closer read.
Initially it looked like it was a case of too much subjectivity, and the unquantifiable feeling that someone would be a better bet against the other services' candidates. I can see how it looks like she was passed over because she was a nurse, but where's the empirical evidence that it was purely down to her being female? I didn't really get the feeling a male nursing officer with the same profile would have necessarily got the job.