WordWeb Online

1. Capable of being shocked
   - shockable
    
2. Lacking tolerance or flexibility or breadth of view
   "a brilliant but narrow-minded judge"
   - narrow
    
3. Rigidly adhering to a particular sect or its doctrines

See also: closed-minded, close-minded, dogmatic, dogmatical, illiberal, intolerant, narrow, narrow-mindedly, narrow-mindedness, opinionated, opinionative, petty, sectarian, self-opinionated, small-minded

Antonym: broad-minded