What term refers to the act of begging persistently and urgently?

The chosen term, which means to beg persistently and urgently, is "importune." This word conveys a sense of relentless pleading or insistence, often in a way that is annoying or tiresome to the person being addressed. The root of "importune" suggests a deep-seated desire or need, emphasizing the urgency and persistence behind the act of begging.

In contrast, the other terms do not carry this connotation. "Extant" refers to something that still exists, especially in contrast to something that is lost or extinct. "Fallow" describes land that is left uncultivated, particularly in the context of agriculture, highlighting a period of inactivity rather than any form of pleading. "Idyll" typically refers to a happy peaceful scene or a narrative, particularly of pastoral life, and lacks any connection to begging or urgency. Thus, "importune" stands out as the only term that encapsulates the act of begging persistently and with urgency.