If Chrysalis came barging in on a power trip then she would be struck down and made to kneel before Papillon. There is no single ruler of the changelings, but Queens of individual hives, and Chrysalis would be expected to pay homage to Papi within her own hive.
If Chrysalis came to Papillon for help, the Papi would help her, but not without reprimanding her for her brash actions, and violation of the changeling way.