Definition of odour of sanctity:
(n) :
(figurative) A person's reputation for, or state of, holiness.
(n) :
(figurative) (chiefly humorous or ironic) A (supposed) general aura of goodness or virtue.
(n) :
(chiefly Christianity, historical, especially Middle Ages) A sweet smell, usually likened to that of flowers, said to be emitted by the bodies of saints during their life, or especially at or after death.