You WILL take. You don't take battle damage from attacks INVOLVING this card. A direct attack doesn't involve this card, therefore you WILL take damage.
I remember once, a stage mission says inflict 3000 battle damage, I use Blue-eyes directing an atk to the opponent, but the mission refused it. So when I tried battling with a monster with more than 3k damage the mission says it's done. Imma bit confused now.
My only guess is that particular mission is mistranslated and you're supposed to specifically attack a monster for it.
Although, wouldn't be the first time there's a hidden requirement. The mission to summon Perfectly Ultimate Great Moth cannot be completed using the golden cocoon quick-play spell, you actually have to summon it old-fashioned way.