"Your time is limited, You're just another L wannabe,"

He said, with his pen in his hand. If you don't make a move quick, he'll write your name in the notebook of death and you'll be dead.

"I've killed L long ago, you're just an insect that i don't have to tolerate."

You were L's sister, after he's died to the hands of kira you decided to take up his role, chasing kira and finally deducing the suspicion to Light Yagami. You were right, but you weren't prepared for him to admit it himself.