I've read this story before, in Russian, and, honestly, it doesn't make any sense to me.
According to Wikipedia, plague responds to antibiotics very well, since it is a bacteria, not a virus and it hasn't been widespread since the development of antibiotics, so it didn't develop any resistance to antibiotics.
If she knew that she broke a flask with plague (and, as I understand, she did know that), why don't start a course of antibiotics immediately, before any symptoms? Wouldn't she be totally fine it this case?