nondenominational

A non-denominational person or organization is not restricted to any particular or specific religious denomination. The term has been used in the context of various faiths including Jainism, Baha'i Faith, Zoroastrianism, Unitarian Universalism, paganism, Christianity, Judaism, Hinduism, Buddhism and Wicca. It stands in contrast with a religious denomination.

Nondenominational (or non-denominational) Christians are not formally aligned with an established Christian religious denomination.