For Ahri Inquisitive, does it count as choosing for a unit with Deflect?

Yes, Ahri, Inquisitive's ability counts as choosing a target, and therefore it triggers Deflect.

According to RiftJudge FAQ #468 and FAQ #1076, Ahri, Inquisitive's ability targets a unit, which triggers the Deflect cost. If the targeted unit has Deflect, you must pay the Deflect cost to apply the -2 might effect. If you choose not to pay (or cannot pay) the Deflect cost, the ability will not resolve on that target.

Additionally, Rule 352.6 states: "When a card Chooses one or more specific Game Objects to affect, it is Targeted." Because Ahri's ability requires you to select a specific enemy unit to receive the -2 might, it is considered targeting.