WordWeb Online

1. Not sympathetic or disposed toward
   "unsympathetic officialdom"; "people unsympathetic to the revolution"; "his dignity made him seem aloof and unsympathetic"
    
2. (of characters in literature or drama) tending to evoke antipathetic feelings
   "all the characters were peculiarly unsympathetic"
   - unappealing, unlikeable, unlikable
    
3. Not having an open mind
   - closed
    
4. Lacking in sympathy and kindness
   - unkindly
    
5. Not agreeing with your tastes or expectations
   "a job temperamentally unsympathetic to him"
   - disagreeable

See also: incompatible, uncompassionate, uncongenial, unkind, unreceptive, unresponsive, unsympathetically, unsympathising, unsympathizing

Antonym: sympathetic