How is Katniss influenced by authority figures?

I’m assuming you only want to address the first novel in the series, so I will limit my scope to that text only.
If we define authority figures as those with a degree of power over Katniss, then the most important characters to discuss are Haymitch Abernathy, the Gamemakers, and the Capitol government (especially President Snow.)
Assigned as the mentor for District 12’s tributes, Haymitch is a drunken former victor who lives in relative isolation from the others in the district. After Haymitch punches Peeta on the train ride to the Capitol, Katniss stabs a knife in the table near Haymitch’s hand. This bold act of defiance shows she doesn’t blindly respect authority figures when she believes they are wrong.
This defiance is further developed during the first meeting with the Gamemakers, in which Katniss must prove her worthiness as a contender. During this private session, Katniss gets angry at the Gamemakers for not paying enough attention to her. In frustration, she shoots an arrow into an apple lodged in a decadent roasted pig that is part of the lavish spread on which the Gamemakers are feasting. Because she fires this arrow directly toward those in charge, Katniss shows that she is willing to take huge risks that challenge authority figures—ones that could have life-threatening consequences.
Her defiance of the Gamemakers is best illustrated, however, in the final moments of the Games, when Katniss withdraws the poisonous berries that she discovered had earlier killed another tribute. Threatening to commit suicide along with Peeta if both aren’t allowed to live, Katniss demonstrates her cunning intelligence and brash willingness to publicly disobey—and even outsmart—authority.
This defiance of the Gamemakers is also a blatant act of protest against the Capitol. Because the government maintains authoritarian rule over the other districts via the Hunger Games, the Capitol is furious that Katniss so publicly outwitted them at their own game. However, when Haymitch explains that Katniss and her beloved family might face repercussions from the angry Capitol, Katniss’s blatant disregard for authority softens. During the closing ceremony and final interview with Caesar Flickerman, Katniss chooses to manipulate the public’s sympathy based on her feigned devotion to Peeta. This shows that Katniss scales back her defiance when she feels that the lives of those she loves could be at stake.