If an opponent targets my 4 might Fiora with Foxfire, and I respond by playing Discipline to increase her might to 6 (giving her Deflect), does Foxfire have to recycle when it resolves due to the new Deflect?

Ruling: No, Foxfire does not have to recycle. Paying costs and choosing a target happens when the card is played, so Deflect gained after targeting is irrelevant.

Sequence:

• Opponent plays Foxfire and targets Fiora (4 might, no Deflect)
• You respond with Discipline, increasing Fiora to 6 might (gaining Deflect)
• Foxfire resolves and affects Fiora normally because the target was already chosen