Should I buy a separate chiller/freezer to store my breastmilk in? I kinda feel icky about storing my milk beside the meats!

I buy a separate freezer because my father in law likes to open the freezer door till the meat has defrosted and the blood freezes in the freezer. If you're using the freezer on your own I don't think you need another one. Breastmilk bags and the containers are air tight.