Board Thread:Questions and Answers/@comment-189.182.75.248-20170406031815/@comment-29759785-20190811071237

He means nothing romantic by that. If I remember correctly, he says that he is his hope and the rest of the world. By that he means that she will be a bridge that will connect the people of virtual world (UW) and the people form the real world. Asuna is the most important for Kirito as she is his lover, but that doesn't mean that Kirito cannot care about other people, which he actually does a lot. So to sum up, no Kirito is not placing Alice over Asuna in this scene or in anywhere else. He simply claims that Alice will have important role for the future of the world, therefore nothing to worry ;)

Hope it helps