Originally, hospitals were pilgrim’s hostels (“domus hospitalis” literally means “guest house”), and extended there service to ill, disabled, old and poor people over the time. All hospital foundations in Europe and America prior to the 19^th century and most prior to the 20^th were founded by organisations with a Christian background, aka Catholic orders, Protestant churches and charities.
There are/were quite a few Catholic orders entirely devoted to hospital work. The address “Sister” for a nurse is a relict from the time when all hospital nurses were nuns.
The idea, that the secular state could be responsible for the health of it’s citizen and invest into hospital building is quite recent.
I mean, it’s not bad if the church actually cares about the old and sick. Where it gets bad if they deny help for not being religious or if they interfere with the doctors. Christianity in its core values is good, but the church often forgets these.