Malaria. It did come from Italy. Nero had the swamps drained because of the “bad air disease.”
Malaria [from the Italian mala aria – bad air]
I don’t know if this is what you’re after because it’s not a disease nor is it Italian.
It’s the first word I thought of when I saw bad air.
The miasmatic theory of disease held that diseases such as cholera or the Black Plague were caused by a miasma (Greek language: “pollution”), a noxious form of “bad air”.
Miasma is considered to be a poisonous vapor or mist that is filled with particles from decomposed matter (miasmata) that could cause illnesses and is identifiable by its nasty, foul smell (which, of course, came from the decomposed material).
malaria. im keeping it short and sweet