Fundamental Rights
Subject to public order, morality and health, every religious denomination or any section thereof shall have the right - (a) to establish and maintain institutions for religious and charitable purposes; (b) to manage its own affairs in matters of religion; (c) to own and acquire movable and immovable property; and (d) to administer such property in accordance with law.
Religious groups (not just individuals) have their own institutional rights: to set up religious and charitable institutions, manage their own religious affairs, and own and administer property - all subject to public order, morality, and health, and to ordinary property law.
A religious trust has the right to decide its own internal religious rituals and appoint its own religious functionaries (matters of religion under 26(b)), but the government can still regulate how the trust's property and finances are administered (26(d) is "in accordance with law").