How does the old woman’s presence during the book burning affect Montag?

Montag is devastated by the old woman's death. He wanted her to leave the house before it was burned..... he wanted someone to help him force her out of the house..... and in the end, she held the match that was partially responsible for ending her life.

"You're not leaving her here?" he protested.

"She won't come."

"Force her, then!"

Beatty raised his hand in which was concealed the igniter. "We're due back at the house. Besides, these fanatics always try suicide; the pattern's familiar."

Montag placed his hand on the woman's elbow. "You can come with me." "No," she said. "Thank you, anyway."

"I'm counting to ten," said Beatty. "One. Two." "Please," said Montag. "Go on," said the woman. "Three. Four."

"Here." Montag pulled at the woman.

The woman replied quietly, "I want to stay here" "Five. Six." "You can stop counting," she said. She opened the fingers of one hand slightly and in the palm of the hand was a single slender object. An ordinary kitchen match.

Witnessing what happens to the old women burned with her book deeply upsets Montag?