undenominational

/ˌʌndɪˌnɑmɪˈneɪʃənəl/
adjective
  1. Not connected with or restricted to a particular religious denomination; nonsectarian.
    • The school is undenominational and welcomes students of all faiths.
    • The charity operates on an undenominational basis, helping people regardless of religion.
    • They held an undenominational prayer service open to everyone.
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