1. I do not think of Tessie as "dominating" so much as I think she is simply assertive, but, because she is a woman, her personality is interpreted as domineering. It seems that she is expected to be submissive, given the whole process of the lottery where the man draws for the family unless he is absent; then an adult son draws before his mother would step into the father's role. Mrs. Dunbar, for example, only draws for her family because her husband has a broken leg and her son, Horace, is "'not but sixteen yet.'" Clearly men are expected to be the public representatives of their families in this community, while women take a backseat. But Tessie does not, and she is unusual in this way.
2. Tessie also has a sense of humor, something else that seems to differentiate her from her peers. In addition to refusing to take a backseat to her husband, she makes the crowd laugh aloud, twice. First, when she mentions how she could not leave without finishing the dishes, and again when she jokingly orders her husband to select a paper.
3. When she learns that it is her family that has drawn the paper with the spot, she panics. She gets so fixated on how "unfair" the proceedings seem to her—she insists that Bill did not get a chance to take his time and choose the paper he wanted. The trait Tessie displays here is outspokenness. Whether she is right or wrong, she feels as though her family is being victimized, and so when it comes to her turn, she "look[s] around defiantly, and then set her lips" before she "snatched a paper" from the box. Clearly Tessie has behaved in yet another way that is considered to be unacceptable, as one older community member comments that "'People ain't the way they used to be'" in disappointment.