What is the term for the entryway into a funeral home or church?

The term that represents the entryway into a funeral home or church is "narthex." In architectural terms, a narthex is specifically defined as a lobby or entrance area situated at the west end of a church, serving as a transition space between the exterior and the main worship area. It traditionally functions to accommodate attendees before they enter the main sanctuary, and sometimes it is used for gatherings or brief ceremonies that don't require full access to the church's interior.

The other terms listed do not fit this specific definition. A sanctum typically refers to a sacred place, often a shrine or inner sanctum, and is not used to describe an entryway. A vestibule is a more general term for an entrance hall, commonly found in various buildings, making it less specific to a church setting compared to a narthex. A cloister refers to a covered walkway in a monastery or convent, which is unrelated to church entryways. Thus, narthex is the most appropriate term for the entryway in this context.