Does Irelia Fervent get +2 Might (+1 from her own ability and +1 from the battlefield) when she moves from a battlefield that gives +1 Might when a unit moves from it?

Ruling: Irelia Fervent only gets +1 Might from the battlefield effect, not +2. She does not get the bonus from her own Fervent ability because the battlefield trigger does not "choose" or target units—it is programmatically determined.

Nuances:

• Irelia Fervent specifically requires "when you choose or ready me" to trigger her bonus
• The battlefield trigger is "programmatically chosen" rather than player-chosen, meaning the game automatically determines which unit is affected (the one that fulfilled the trigger condition)
• "Choose" in Irelia's context is synonymous with "target"—a player decision, not an automatic game decision
• Effects like Ezreal champion's "when I attack/defend" ability do target/choose, so they would trigger Fervent and must pay costs like Deflect
• If the resolution text (after the comma) cannot automatically determine which object is affected (like "a unit here"), it usually targets