我的理解:主语是Martha Graham,An artistic presence of the first order是主语Martha Graham的同位语,one frequently ranked with Picasso, Stravinsky, and James Joyce是An artistic presence of the first order的插入语(或同位语)。不知正确与否。
acclaim---to give public approval and praise: e.g.
She was universally/widely/publicly acclaimed for her contribution to the discovery. She is being acclaimed (= publicly recognized) as the greatest dancer of her generation