you can ask for samples of most anything at almost any deli counter if you are planning on buying it. the person behind the counter is expected to know all the inventory, and when shaving and weighing deli meats there are always wastage slices. not all the inventory sells and a good portion is culled and goes to waste. any ends that dry out and the ham end pieces often go to waste.
if she ate a few slices a day that isn’t really impacting any deli. if she was taking home huge packs of meat without permission or binge eating all day or something of that nature and i can see an issue, but that isn’t the case here right? i think there must be something else going on here.