As for going after the angel of killing for revenge, she would like to do that too. But she wisely gave up on it because she knew that she didn't have the strength to covet such a thing.
She won't give up on revenge just like that. If it is possible, she will still try to speak about revenge on the angel of killing.
In this case, she will try to plead with the royal family to help. But she is not counting on their help, and she is not going to focus on seeking revenge from the angel of killing.
Getting revenge on the undying godclad is more feasible. It is also something that she can do alone, so she intends to focus on that instead of seeking revenge in the act of killing.
Besides, she has something tangible to gain other than revenge by going after the undying godclad. This tangible benefit is related to her advancement to rank 8.