Holden may want to have Jane for himself, but his anger over knowing that Stradlater is having a date with Jane mainly shows his strong desire to protect people he feels are innocent and vulnerable. He seems to have fallen in love with Jane. He mentions her numerous times in the novel, yet he doesn't make any effort to contact her, possibly because he feels ashamed of being expelled from school. His protective nature is fully revealed in the episode in which he tells his little sister that he would like to be a "catcher in the rye," a man whose vocation was to protect little children from getting injured. No doubt Holden sees the childlike quality in Jane and would like to be able to protect her from predators like Stradlater. Jane is an important character in the book even though she never actually appears in person.