1 - make Bard, start solo game, no rapier
2 - make Bard, start game together with someone else, no rapier
3 - make Bard, join existing game, you get a rapier
Does not seem to be affected by sex, race, sub-race nor body type (my boy and I tested several racial combinations).
BTW - did the Bard always start the game without a rapier, but only with hand x-bow, or did the class lose it at some point? I no longer remember how it was in EA, while in Release I think I assumed that "no rapier" is a feature, not a bug. But these different outcomes make me wonder ...