BlitzPuppet,
That reductionist simplistic explanation is outdated. It's been over 100 years since Stevens and Beecher Wilson first described the XY sex-determination system. Our knowledge is more advanced now so we know this isn't a simple mechanism of presence/absence but of proportions and gene interaction. Put your trust in current medical science, not antediluvian bigotry.
http://en.wikipedia.org/wiki/XY_sex-determination_system
So many people trust science when it comes to explaining the material world and making their machines, computers, planes and gadgets work, yet they will reject new scientific data when it comes to the human condition.
Edit: We classify stuff because it simplifies how we elucidate the patterns and forces we see in the natural world, making convenient little categories and boxes in which to fit stuff for the purpose of communication without equivocation. Unfortunately, nature is not bound by our worldview and the real world if full of borderline and transitional forms that defy simple classification. The usual demarcation between man & woman is
an approximation for exactly this reason but exceptions do occur. The history of science is replete with examples of this whether they be fossil taxa or astral bodies, for example. Nowadays we know that the dichotomy between matter and energy is not as simple as we once thought it was. Electricity & magnetism were once considered to be very distinct phenomena. Etc...