That's a very broad question, and I'm not sure that it can be answered in definitive terms without a specific example. In some respects, the organization must be defined by external, societal circumstances; in other respects, as I indicated, the duty to accommodate reflects a balancing between the interests of the external regulating entity, whatever that defining entity may be, and the religious community itself.
On October 30th, 2017. See this statement in context.