Marie Antoinette's necklace affair had certainly been a scandal that damaged the royal family's credibility, but the key issue was that someone had forged her signature, while Jeanne, acting as the intermediary, claimed that the forged letter delivered to the cardinal had been written by the queen.
With this golden bee seal, it meant she was now a "person of status" too. Others could forge her signature and seal to obtain enormous benefits. It was said that the necklace could buy a warship, so expensive that even Marie Antoinette had refused to purchase it.
The queen's reputation was damaged, and the king suffered along with her. That necklace had originally been intended by Louis XV as a gift for Madame du Barry, but he died of smallpox, and Madame du Barry was driven out by the new king. That was why the extravagant necklace never made it into Madame du Barry's hands.
Given the current situation, the only way to restore public trust was through inoculation, but that was not something to be done now, immediately, at once.
Not every general who ordered soldiers to grow beards was a republican; there were old nobles among them too. If Georgiana had been the one handling Jeanne, the thief who stole the necklace, she would not have let Jeanne go after merely having her whipped, as Louis XVI had. Branding was still legal. She would have someone burn a mark into Jeanne's face that would never fade, display her publicly for three days, and then sentence her to exile.
Suppression did not necessarily require bloody conflict. Women who loved jewelry generally loved beauty too. Ruin the face she was so proud of, and her arrogance would disappear.
To deal with an intellectual power minister like Sieyès, one had to use intellect as