The Plague Doctor outfit we see here was, after all, really useful to save a doctor's life.
It is considered to have been invented in 1619 by the French Doctor Charles de Lorme.
The idea was to protect as much as possible the doctor from what the plague was coming from (they didn't know it was from rats' fleas, of course):
It may look like a weird costume, but it is, in the end, a quite modern and functional piece of kit.