In Season 6 of Game of Thrones, Arya was tasked with
killing the actor, and declined to complete the task. Jaqen H'ghar then tasks the Waif with killing Arya to appease the Many-Faced God. Arya, in the course of two battles, defeats and kills the Waif, hanging her face in the House of Black and White.
Is the Many-Faced God appeased? A name was spoken, and a face was hung, but they do not concur.
Jaqen H'ghar lets Arya (nee No One, nee Arya) leave without further retribution, but she is armed at the time.
Complicating matters, earlier in the season,
upon awakening Arya from her blindness, I believe Jaqen H'ghar says something to the effect of, "You can drink this and become No One, or drink this and become Arya, but you can't have both."
This suggests that beyond the debt to the Many-Faced God for the face of the actress, is the debt that Arya would have to repay based on choosing to become No One, and later recanting.