At first David was getting annoyed and was about to act, it was then he noticed something and strangely didn't do anything to resist her attacks.
But to the others in the stage, it seem liker David was defenseless against Lilith and wasn't able to get hold of her. But they didn't blame him tho, that was because Lilith's movements was so fast she seem to move with lightning streaks.
If not for the trail of blood that streaked across the battle field, and several bloody marks on David's skin the spectator's watching the match might have the misconceptions that she was teleporting from one place to the other.
The bagan to fell pity for David and even some of them couldn't continue to watch the battle as it was torture for them to see so much blood in such a battle and injury. This wasn't even a fight any longer, this was a one sided torture.