Как по Английски будет принадлежащий исключительно

adjective

Different to what is normal or expected; strange.

Примеры использования:

He gave her some very peculiar looks

noun

A parish or church exempt from the jurisdiction of the diocese in which it lies, and subject to the direct jurisdiction of the monarch or an archbishop.

Примеры использования:

Deans and canons of royal peculiars, notably westminster abbey and windsor