If a replacement effect causes cards you discard this way to be exiled rather than go to the graveyard, Queen Kayla bin-Kroog's ability can still find those cards in exile. You can still put cards discarded this way onto the battlefield with Queen Kayla's ability.

From among the discarded cards, you may choose an artifact or creature card with mana value 1, you may choose an artifact or creature card with mana value 2, and you may choose an artifact or creature card with mana value 3. Then put all the chosen cards onto the battlefield simultaneously.