Haruno Sakura's fight with Tsunade did not continue because Tsunade had conceded defeat and announced to everyone that she was far inferior to Haruno Sakura, who was truly deserving of the title of Hokage.
With Tsunade's official recognition from Konoha, all members of Anbu had no more objections to Haruno Sakura. Moreover, the news of Haruno Sakura sending Jiraiya and others to claim compensation of 45 billion ryō from Sunagakure also spread afterward, greatly enhancing Haruno Sakura's reputation and gaining acceptance from most of the villagers.
The part of the population that did not accept this believed Haruno Sakura was being too harsh on Sunagakure.
However, this group of people was quickly apprehended by Anbu for investigation to see if they were spies from other ninja villages plotting against Konoha.