I'm in a similar situation. Father was Ukraninan Jewish, but Mother was fully Italian. However, my results came in at 65% European Jewish, 10% Persian/Turkish/Caucusus, 22% Scandinavian, and 3% undetermined. One of my mom's parents' families was from Benevento in Campagna, the other from Sicily. Sicily was conquered by the Arabs in the 800s and they stayed on for centuries, Jewish immigrants came to both Sicily in the 1400s and Benevento in the 600s. Vikings settled in Benevento when they defeated the Romans in 400. So take a look at the history of the towns your Italian ancestors were from and you may get a sense of the admixtures over the centuries, and where your Turkish/Persian/Caucusus piece of the puzzle was derived from. Good luck !