Maybe it is her short, spiky hair, or the cigarettes, which she gives to the men repairing the wiring in her Brooklyn apartment. Maybe it is because she swears. For whatever reason, the Rev. Ann Kansfield does not fit the stereotype of a minister. Not that she is worried about meeting anyone’s expectations for what a clergywoman should say or do. “We shouldn’t have to hide ourselves or worry about being judged,” Ms. Kansfield, who ministers at the Greenpoint Reformed Church, said. In her newest ministry, that self-assuredness is likely to serve her well. Ms. Kansfield, 39, is to...