Liza's presence wasn't expected by Anna. and seeing Anna first when Liza got so near to Ji Hoon's place wasn't anticipated by the former.
Liza once left the corp had her mind fixed on one thing, she had to help Ji Hoon to get away from this mess.
She realized that Ji Hoon didn't betray her. He didn't go to take away the love of his life. In fact he went to save a girl on the verge of dying.
Even if that girl might be loving him, that didn't mean Ji Hoon loved her back. In addition to that, she didn't know why he went there to save Anna in the first place.
She knew that Ji Hoon was special. Despite being a normal human up till the last meeting with him, he acted with signs that he wasn't normal at all.
Aside from his charming presence and his handsome face, his speed and strength weren't even close to any normal human.