Depends what you mean by "correctly", really.

Is it recognisable? Well, it's got his name there, and some of the usual paraphernalia is there, so sure, why not. The staff is a little bit concerning: it's got snakes coiled around it -- or is it one? the snake(s) don't have heads, so it looks like the designer wasn't sure how many there are supposed to be. The winged hat is a bit modern, not much like the traveller's hat that ancient depictions usually show.

Is it an authentic ancient coin? No, definitely not. Aside from the hat and the fact that the name is written in full, it's from this mass-produced set of medallions.

But for a modern depiction it's recognisable enough. It entirely depends what you want to use it for.