Definitions of unsympathetic:

• adjective:   not sympathetic or disposed toward

  Example: "Unsympathetic officialdom"

• adjective:   (of characters in literature or drama) tending to evoke antipathetic feelings

  Example: "All the characters were peculiarly unsympathetic"

• adjective:   lacking in sympathy and kindness
• adjective:   not having an open mind
• adjective:   not agreeing with your tastes or expectations

  Example: "A job temperamentally unsympathetic to him"