The passage highlights the fact that the need of the hour is:-

The stranger came early in February, one wintry day, through a biting wind and a driving snow, the last snowfall of the year, over the down, walking from Bramblehurst railway station, carrying a little black portmanteau in his thickly gloved hand. He was wrapped up from head to foot, and the brim of his soft felt hat hid every inch of his face but the shiny tip of his nose; the snow had piled itself against his shoulders and chest, and added a white crest to the burden he carried. He staggered into the 'Coach and Horses' more dead than alive, and flung his portmanteau down. "A fire," he cried, "in the name of human charity! A room and a fire!" He stamped and shook the snow from off himself in the bar, and followed Mrs. Hall into her guest parlour to strike his bargain. And with that much introduction, and a couple of sovereigns flung upon the table, he took up his quarters in the inn.

Mrs. Hall lit the fire and left him there while she went to prepare him a meal with her own hands. A guest to stop at Iping in winter time was an unheard-of piece of luck, let alone a guest who was no "haggler," and she was resolved to show herself worthy of her good fortune.

The apparent mood of the 'stranger' was one of:-

annoyance

The correct answer is Option (3) → annoyance

The stranger's actions and words indicate extreme discomfort and irritation due to the cold and the journey:

• He "staggered" in, feeling "more dead than alive."

• He cried out for a fire and a room "in the name of human charity!"

• He stamped and shook the snow from himself, actions suggesting impatience and frustration.

While the primary feeling is desperation for warmth, the intense, demanding, and rough manner in which he asks for aid points strongly toward annoyance and severe discomfort rather than sadness (melancholy) or happiness (optimism/amusement).