The Collaborative International Dictionary of English v.0.48:

anointment \a*noint"ment\ ([.a]*noint"ment), n.
   The act of anointing, or state of being anointed; also, an
   ointment. --Milton.
   [1913 Webster]

WordNet (r) 3.0 (2006):

anointment
    n 1: the act of applying oil or an oily liquid [syn:
         anointing, anointment]

Moby Thesaurus II by Grady Ward, 1.0:

27 Moby Thesaurus words for "anointment":
   accession, anointing, appointment, arrogation, assignment,
   assumption, authorization, chrismation, chrismatory, consecration,
   coronation, delegation, deputation, election, empowerment,
   greasing, inunction, legitimate succession, lubricating,
   lubrication, lubrification, oiling, seizure, succession,
   taking over, unction, usurpation