"For medical reasons" and "For religious reason" are so cosmically distant on the scale of legitimacy that if one were to suffer a catastrophic explosion, it would take the better part of a decade for the other to notice. Also, again, the headscarf (and perhaps the turban) is not a religious garment; it is a cultural one. Wrap a bedsheet around your head and show up in a formation at a change of command and let me know if it looks conservative and appropriate. You going to wear a hat with it too? Methinks you've taken up a bad position.