The story is that her blood turned blue, not that she was treated by a doctor. _Of_course_ she was treated by a doctor! Her blood turned blue!
She could have died before see could be seen by a doctor, for example ("Accident victim bleeds blue blood").
She could found out on her own and started a cult ("Woman starts a cult after her blood turned blue")
She could have hidden it, fearing some superstition ("Woman lived with blue-blood disease for decades")
And any other combination of events...