What term refers to offering an idea indirectly?

The term that refers to offering an idea indirectly is "imply." To imply something means to communicate a message or idea without stating it outright. Instead, the idea is hinted at or suggested through context, tone, or subtle hints. This allows for the reader or listener to infer the deeper meaning without it being explicitly spoken or written.

While "suggest" also involves bringing an idea to mind, it typically signifies a more direct recommendation or proposal. In contrast, "imply" involves an indirect conveyance that often relies on the audience to grasp the unspoken nuances. The other terms—"establish" and "affect"—do not pertain to the idea of indirect communication and focus instead on creating a point or influencing something directly. Thus, "imply" is the best choice for conveying the notion of suggesting something indirectly.