They don’t shit from the udders tho 😆
Part of the milking protocol is cleaning the udders before milking. If you’ve never been to a small scale dairy farm, maybe check it out and ask your farmer some questions if you have concerns. You’re *far* more likely to get sick from spoiled pasteurized milk than fresh, carefully collected raw milk.
As a test: leave a glass of pasteurized milk out on the table for a day or two, what do you get? Stinking rotten filth. All the probiotic enzymes and bacteria have been killed off and you’re left with a cesspool of germs.
Leave a glass of raw milk out on the table for a few days and what do you get? Basically curds and whey which can both still be used: curds to make cheese, the whey can be used virtually same as buttermilk in cooking.