Stat-wise, this set is essentially the same as the Black Church Set, with only worse Physical defenses, better Blood Defenses, minutely better Slow Poison and Frenzy Resistance and slightly lower Rapid Poison and Beasthood. The differences are so minuscule that it doesn't really matter which set is worn.
The White Church Set is one of the few Gendered Attires, attires that have different models for each sex. The Male version is more like one sees in hunter sets, whereas the Female version is more depicting of a nun's dress.
The Black Church Set is similar, but with a black color overall, and a hat. It is worn by the elementary Healing Church doctors, while the White Church Set is worn by superior doctors.
The Surgical Long Gloves are shared by both the Black Church Set and White Church Set.