The Collaborative International Dictionary of English v.0.48:

Injudicious \In`ju*di"cious\, a. [Pref. in- not + judicious; cf.
   F. injudicieux.]
   1. Not judicious; wanting in sound judgment; undiscerning;
      indiscreet; unwise; as, an injudicious adviser.
      [1913 Webster]

            An injudicious biographer who undertook to be his
            editor and the protector of his memory. --A. Murphy.
      [1913 Webster]

   2. Not according to sound judgment or discretion; unwise; as,
      an injudicious measure.

   Syn: Indiscreet; inconsiderate; undiscerning; incautious;
        unwise; rash; hasty; imprudent.
        [1913 Webster]

WordNet (r) 3.0 (2006):

injudicious
    adj 1: lacking or showing lack of judgment or discretion;
           unwise; "an injudicious measure"; "the result of an
           injudicious decision"

Moby Thesaurus II by Grady Ward, 1.0:

54 Moby Thesaurus words for "injudicious":
   brash, brazen, brazenfaced, hubristic, ill-advised, ill-considered,
   ill-contrived, ill-devised, ill-gauged, ill-judged, impolitic,
   improvident, imprudent, impudent, inadvisable, incautious,
   inconsiderate, indiscreet, inexpedient, insensate, insolent,
   irrational, mindless, misadvised, misguided, myopic, overbold,
   overcareless, overconfident, oversure, overweening, rash,
   reasonless, reckless, senseless, shortsighted, temerarious,
   thoughtless, unadvised, unchary, unconsidered, undiscerning,
   unforeseeing, unreasonable, unreflecting, unreflective, unseeing,
   unsensible, unsound, unthinking, unthoughtful, unwary, unwise,
   witless