The Collaborative International Dictionary of English v.0.48:

Indelicate \In*del"i*cate\, a. [Pref. in- not + delicate: cf. F.
   ind['e]licat.]
   Not delicate; wanting delicacy; offensive to good manners, or
   to purity of mind; coarse; rude; as, an indelicate word or
   suggestion; indelicate behavior. --Macaulay. --
   In*del"i*cate*ly, adv.

   Syn: Indecorous; unbecoming; unseemly; rude; coarse; broad;
        impolite; gross; indecent; offensive; improper;
        unchaste; impure; unrefined.
        [1913 Webster]

WordNet (r) 3.0 (2006):

indelicate
    adj 1: in violation of good taste even verging on the indecent;
           "an indelicate remark"; "an off-color joke" [syn:
           indelicate, off-color, off-colour]
    2: lacking propriety and good taste in manners and conduct;
       "indecorous behavior" [syn: indecorous, indelicate] [ant:
       decorous]
    3: verging on the indecent; "an indelicate proposition"

Moby Thesaurus II by Grady Ward, 1.0:

30 Moby Thesaurus words for "indelicate":
   callow, chintzy, crude, improper, in bad taste, inappropriate,
   indecent, indecorous, indiscreet, inelegant, lewd, malodorous,
   offensive, rough, rude, tasteless, unbecoming, unbeseeming,
   uncouth, undecorous, undignified, unfitting, ungenteel, ungodly,
   unseemly, unsuitable, untasteful, untoward, vulgar, wanton