Anodyne has two main meanings:

  1. In everyday modern use (most common):
    Anodyne describes something inoffensive, bland, or unlikely to upset anyone, often because it avoids strong opinions or controversy.
 * Anodyne comment = very safe, neutral remark.
 * Anodyne statement/speech = smooth, harmless, but often a bit dull.
  1. In older or formal medical use:
    An anodyne is a pain‑relieving drug or remedy, basically a painkiller or something that soothes discomfort.

So if someone says “that was pretty anodyne,” they usually mean it was safe, inoffensive, and maybe a little boring.