You can become the Darling of the Ambassador's Ball through a storylet in Veilgarden. These storylets unlock when you obtain that Accomplishment Quality and other storylets become no longer available. A number of other storylets and Opportunity Cards also have options that are available with this Accomplishment.
The demands of high society
Balls, salons, poetry readings, the opera: one simply doesn't have time to fit it all in.
Attend an event
It is time once more to dress in one's finery and make an entrance.
Unlocks: Persuasive 50, the Darling of the Ambassador's Ball 1
(Persuasive challenge; straightforward at 59)
Correspond with a contact at the Shuttered Palace
You met a Wry Functionary at the Ambassador's Ball. You could cultivate this relationship.
Write a letter
You could write to your contact in the Palace and find out what's going on there.
Unlocks: Persuasive 56, the Darling of the Ambassador's Ball 1
(Persuasive challenge; straightforward at 65)