If “Gemini Elf” attacks a Defense Position “Battle Footballer”, and “Gemini Elf”’s controller takes 200 damage, then “Begone, Knave!”’s effect will send “Battle Footballer” back to its owner’s hand.
The effect of “Begone, Knave!” can be on a chain.
The effect of “Begone, Knave!” is applied to the monster that inflicts Battle Damage to the player, so if “Amazoness Swords Woman” battles a stronger monster, “Amazoness Swords Woman” would normally be returned to the owner’s hand, but because she is destroyed and sent to the Graveyard, she will not be returned.