The character trait that best describes Framton Nuttel is neurotic. In the second paragraph the author writes:
Privately he doubted more than ever whether these formal visits on a succession of total strangers would do much towards helping the nerve cure which he was supposed to be undergoing.Saki intentionally contrasts him with the girl playing hostess by describing her as. . . a very self-possessed young lady of fifteenHer self-possession makes Framton...