I think your final paragraph is entirely gender neutral and could apply to pretty much any applicant. The point of alums and YC both reading it has already been made, as well.

My point, though: sure, running a company is more about the company than the person, but as a female founder (I can't exactly speak from experience as a male one!) it's entirely down to your personal presentation of the company, the technology, the idea. Sure, people in meetings don't tend to ask what the coolest thing you ever hacked was, but especially as a small company, it's definitely still personal. There are organisations like Astia, which I'm involved with, that help make it easier for women; I suggest checking them out if you're seriously worried about the gender gap. Yes, we do get treated differently, and having to re-establish hacker credentials time and again when people assume you work in marketing gets old. Funnily enough it's worse in Silicon Valley (so far in my experience) than back home in England. Still. There are things that you can do to make life easier, tricks that everyone from Margaret Thatcher to Queen Elizabeth, to female generals and CEOs have all employed. Your cofounders can help too, if you're having trouble because people ask them the same questions, by backing you up wholeheartedly (that could easily be an authority issue not a gender one). It's a rough road but having the chance of a woman read your YC app is really such a minor thing that it's not worth getting twisted up about.

As an aside, Guy Kawasaki has spoken on the advantage women have over men in startups, namely not focusing on killing some company, but making something people want. I'd guess that a successful YC alum has a high probability of having read his work.

Well, hopefully you'll see this as an opportunity to turn this into a chance to work on your marketing skills to a larger audience. I get the feeling that PG is a tougher person to sell an idea to than most startup founders are.