The Hippocratic Oath is an important datum in the practice and
ethics of medicine.  I suppose that some physicians might still
choose to swear by it, though I have yet to meet a physician who
believes in the gods to whom the oath is directed.  (Nor, for
that matter, very many who believe that they should treat their
teachers as their parents!)  

While important elements of the Hippocratic Oath remain in modern
views of medical ethics, it is NOT the defining standard.
Physicians are NOT required to swear by it on graduating medical
school or becoming licensed.  (Many physicians would have
religious objections to this.)  Physicians are NOT obliged --
legally or morally -- to abide by every jot and tittle in it.

Russell
--
"Why does our innate subjective spacing of qualities accord so well with the
functionally relevant groupings in nature as to make our inductions come out
right? ...  Creatures inveterately wrong in their inductions have a pathetic
but praiseworthy tendency to die before reproducing."   --  W. V. O. Quine