Italy was the cool culture (or rather, the cool cultures) to emulate during the Renaissance; some borrowing is not that strange. A lot of artists and intellectuals felt they needed to travel Italy at that time and until the romantics in the 19th century, so they were lots of contacts besides the Italian wars.
Purely out of curiosity, which words surprised you the most? AFAIK etymology for a lot of them are quite murky, but off the top of my head, “quarantaine” is a nice one. Even though they prefer “quatorzaine” these days...