One might come up with other and kinder distinctions (I shall not be doing so) but the plain fact about the senator from New York is surely that she is a known quantity who has already been in the White House purely as the result of a relationship with a man, and not at all a quixotic outsider who represents the aspirations of an 'out' group, let alone a whole sex or gender.
Those of us who follow politics seriously rather than view it as a game show do not look at Hillary Clinton and simply think 'first woman president.' We think—for example—'first ex-co-president' or 'first wife of a disbarred lawyer and impeached former incumbent' or 'first person to use her daughter as photo-op protection during her husband's perjury rap.