When it comes to conflict, Miss Emily is withdrawn, non-confrontational, somewhat arrogant, and completely calm.
When a new generation emerges to come collect her unpaid taxes, Miss Emily meets them and says very simply:
I have no taxes in Jefferson. Colone Sartoris explained it to me...I have no taxes in Jefferson...see Colonel Sartoris.
*Note, Colonel Sartoris has been dead several years. Even as the men try to argue and explain, she stands firm. She then dismisses them and the matter is closed.
Later, when buying poison, she demands "the best you have." The druggist explains that arsenic is the best but in order to purchase it the buyer must state the intended use. Emily does no such thing.
Miss Emily just stared at him, her head tilted back in order to look him eye for eye, until he looked away...
Many have argued that Miss Emily's behavior was borderline nuts. While this may be true, the fact is that her very demeanor pre-emptively strikes on conflict. She causes others (willingly or not) to back down from it and from her.