Of course, there's a chance this story may be slightly exaggerated, because historical records bluntly state that the Milanese totally lost that battle, and the city was stormed and burned. Another explanation is that the sculpture may depict a fairly progressive fertility goddess ... or Frederick I Barbarossa's wife (as a personal little "fuck you" from the Milanese to the guy who ruined their city).
Aside from the hair, nose, lips, jaw, and eyes, the resemblance is uncanny.
Yet another theory is that the carving depicts one of the city's prostitutes, who were encouraged to shave their pubic hair to promote "sexual hygiene." You see, the gate faces Constantinople, whose emperor refused to help the Milanese rebuild their city after Barbarossa stomped a mudhole in it. So the Milanese were essentially shaking their genitals at the emperor as they swept up the rubble that used to be their houses. Whatever the case, the Door of the Shaving Lady seems to have been carved for the explicit purpose of pissing people off.
Though few were more pissed off than the woman taking garden shears to her genitals.