I believe your confusion must be due to a misinterpretation of the text... The "religious body" to do the accrediting accredits the "clergyman, priest, minister, rabbi, or practitioner of (a) religious denomination." ULC is a religious body. The wording is apparently very specifically avoiding limiting the term to "denomination" or to any type of "religious body" that has to be defined by statute (anything else would be unconstitutional) and not specifically limited to any specific term ("clergyman, priest, minister, rabbi, or any practitioner of any religious denomination"). You are a clergy(person), minister, or practitioner of a religious denomination (or "body"), yes? You are ordained (i.e., accredited by) said religious body, yes? Then, you are a "clergyman, minister, or practitioner of a religious denomination" who has been "accredited by the religious body." And, yes, the ULC is a legitimate religious body. Why would you seek ordination in it if you did not believe it to be so? No American would want to believe that any religious body would be subject to accreditation, would we? Who would do the accrediting? Generally, for a government (even of a state) to require any kind of accrediting of a religious organization would be unconstitutional, anyway!