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.

Mrs. Hall makes a meal for the guest with her own hands because she is feeling:-

overjoyed

The correct answer is Option (1) → overjoyed

The passage explicitly states that receiving a guest in winter was an "unheard-of piece of luck" for her inn, especially one who didn't haggle over the price.

She was "resolved to show herself worthy of her good fortune," indicating that she felt fortunate and happy. Her act of personally preparing the meal is a demonstration of this feeling of great pleasure and gratitude (overjoyed) for the unexpected, profitable business.