When the other dog is in a different room, take the aggresive dog's food bowl while she is eating. Put a yummy treat in it and then immeadiatly give it back. She will learn that when you take the food bowl away, something good will happen.
Maybe this will help when the other dog comes over, not sure. But, I think it is worth a try.
Oh... and is the dog who comes to inspect the food bowl just hungry? Has he eaten yet?
It also could be that the dog that inspects the food, is the alpha dog, Make sure the alpha eats first!!! Of course you should eat first because you are the 'alpha' in the pack.