The Collaborative International Dictionary of English v.0.48:

Discriminating \Dis*crim"i*na`ting\, a.
   1. Marking a difference; distinguishing. --
      Dis*crim"i*na`ting*ly, adv.
      [1913 Webster]

            And finds with keen discriminating sight,
            Black's not so black; -- nor white so very white.
                                                  --Canning.
      [1913 Webster]

   2. making careful or fine distinctions, especially as to
      quality or accuracy; as, a discriminating observer.

   Syn: discerning, perspicacious. [PJC]

   3. having a refined taste or excellent judgment; as, a
      discriminating taste.
      [PJC]