what word does Plato use for "morally right"
"dikaios" (δίκαιος).
and what does he mean by it?
See here for an answer to the related question "what did some experts circa 1940 think classical Greek writers generally meant by it?".
Can you shed more light on this?
Not in the sense of having great expertise of my own, as I acknowledged from the outset. It looks fairly clear to me that "dikaios", as Plato's Socrates and Euthyphro use it in this dialogue, has at least a large overlap with terms like "morally right" in contemporary English. Anscombe may be right to say that the ancient Greeks had no word meaning "wrong" or "illicit", but it is difficult for me to look at the LSJ lexicon entry for "dikaios" and deny that they had one for more or less the exact opposite. But it's also hard to believe that Anscombe wrote what she did in simple ignorance of this; perhaps I am missing something important.
I don't know any Greek, either modern or ancient, so I can't judge the LSJ entry for myself. Here's a summary of the English glosses:
This is woefully insufficient for me to understand the matter on my own. Just ...
I was stunned to read the accounts quoted below. They're claiming that the notion of morality - in the sense of there being a special category of things that you should or should not do for the sake of the things themselves being inherently right or wrong - might not only be a recent invention, but also an incoherent one. Even when I had read debates about e.g. moral realism, I had always understood even the moral irrealists as acknowledging that there are genuine moral attitudes that are fundamentally ingrained in people. But I hadn't ran into a position claiming that it was actually possible for whole cultures to simply not have a concept of morality in the first place.
I'm amazed that I haven't heard these claims discussed more. If they're accurate, then they seem to me to provide a strong argument for both deontology and consequentialism - at least as they're usually understood here - to be not even wrong. Just rationalizations of concepts that got their origin from Judeo-Christian laws and which people held onto because they didn't know of any other way of thinking.