non-denominational

adjective

1. of or relating to a denomination or denominations.
2. founded, sponsored, or controlled by a particular religious denomination or sect: denominational schools.
3. limited, conditioned, originating in, or influenced by the beliefs, attitudes, or interests of a religious sect, political party, etc.: denominational prejudice.

adj.also nondenominational, 1893, from non- + denominational. adj.1838; see denomination + -al (1).