If Ahri Inquisitive puts -2 on a unit with deflect in a showdown, does the Ahri player have to recycle a rune?

Ruling: Yes, the Ahri player must recycle a rune. Ahri Inquisitive targets, so the recycle cost from deflect is forced.

Nuances:

• There is no errata making Ahri Inquisitive's ability a "may" ability or "up to 1" to avoid this forced recycle
• Any effect that chooses a target must pay the deflect cost