Source : Webster's Revised Unabridged Dictionary (1913)

Distasteful \Dis*taste"ful\, a.
   1. Unpleasant or disgusting to the taste; nauseous;
      loathsome.

   2. Offensive; displeasing to the feelings; disagreeable; as,
      a distasteful truth.

            Distasteful answer, and sometimes unfriendly
            actions.                              --Milton.

   3. Manifesting distaste or dislike; repulsive. ``Distasteful
      looks.'' --Shak.

   Syn: Nauseous; unsavory; unpalatable; offensive; displeasing;
        dissatisfactory; disgusting. - {Dis*taste"ful*ly}, adv.
        -- {Dis*taste"ful*ness}, n.

Source : WordNet®

distastefulness
     n 1: extreme unpalatability [syn: {disgustingness}, {nauseatingness},
           {sickeningness}, {unsavoriness}]
     2: the quality of being offensive [syn: {offensiveness}, {odiousness}]