Asuka waits for Shinji to do something, but he remains catatonic.
And from Asuka's dialogue that overlaps these scenes, it becomes clear that she has been looking for help and love from Shinji.
Sometimes she may be a bit too aggressive in her mannerisms, but she is indeed a character that deserves all of the hype and attention she has received over the years.
For example, in Super Robot Wars Alpha, Asuka jealously seizes a bouquet of roses Shinji meant for Lynn Minmei.
Though self-centered seemingly even more so than in the anime , she's on slightly better terms with Shinji.