The Collaborative International Dictionary of English v.0.48:

Odium \O"di*um\ ([=o]"d[i^]*[u^]m), n. [L., fr. odi I hate. Cf.
   Annoy, Noisome.]
   1. Intense hatred or dislike; loathing; abhorrence.
      [1913 Webster +PJC]

   2. The quality that provokes hatred; offensiveness.
      [1913 Webster]

            She threw the odium of the fact on me. --Dryden.
      [1913 Webster]

   3. The state of being intensely hated as the result of some
      despicable action; opprobrium; disrepute; discredit;
      reproach mingled with contempt; as, his conduct brought
      him into odium, or, brought odium upon him.
      [1913 Webster +PJC]

   Odium theologicum[L.], the enmity peculiar to contending
      theologians.
      [1913 Webster]

   Syn: Hatred; abhorrence; detestation; antipathy.

   Usage: Odium, Hatred. We exercise hatred; we endure
          odium. The former has an active sense, the latter a
          passive one. We speak of having a hatred for a man,
          but not of having an odium toward him. A tyrant incurs
          odium. The odium of an offense may sometimes fall
          unjustly upon one who is innocent.
          [1913 Webster]

                I wish I had a cause to seek him there,
                To oppose his hatred fully.       --Shak.
          [1913 Webster]

                You have . . . dexterously thrown some of the
                odium of your polity upon that middle class
                which you despise.                --Beaconsfield.
          [1913 Webster]