Nile crocodiles will not die if they eat alligator eel. First of all, alligator eel is poisonous, but only in its internal organs and eggs. Secondly, alligator eel is not without natural enemies, but relatively few, and American crocodiles eat alligator eel. But Nile crocodile and alligator eel will not meet in theory, one in Africa and the other in America. However, according to the natural enemies of alligator eel, it can be inferred that crocodiles should be able to eat alligator eel without damage. I hope it helps you.