The woman wasn't going to allow Damien to easily put her at a disadvantage.
When he banished "information" from her, she combatted it with her own energy to negate the effect.
Nonexistence was powerful enough on its own. Technically, no matter its level, if it was allowed to do as it pleased it could affect anyone at any level.
That was why it was important for people who wielded Nonexistence to always be prepared to counteract its effects.
It was an entirely different branch of thinking, one where not many excelled. In a battle between two practitioners of the concept, it was usually a race to see who could inflict enough damage to gain momentum to push forward and land a lethal blow.
The woman Damien faced was different. She, who went only by the name "Kura," was an incredibly defensive player.
To ensure that information wasn't removed from her mind, she had to target Damien's attack itself.