I may have notice something, so basically I was doing a melee only run with the lightsaber on easy mode and I think she does take damage before the two pillar are destroyed : I basically ran at her and hit her several time with the lightsaber and after some hit she just ignored me and destroyed the two pillar, then fly away, does her bugs attack and then I could see the animation as if she was taking damage and then the quote "Not enough blood" and when she landed the 1st phase was finished, hope it will help