I have a feeling I'm being airily deflected somehow.

Literal

Somehow airily deflected-being feeling [feminine-わ].

飄々と ('airily, in an aloof manner') describes someone who is breezy and elusive — not anxious or flustered, just floating through the conversation. はぐらかす ('to evade, deflect') specifically means dodging a question or topic rather than answering directly. The combination paints someone who deflects with effortless nonchalance. The feminine わ ending softens the observation.