The Demolished Woman is a main quest by Sophia Akande in The Outer Worlds.
Your task is to kill Rachel Lockwood who apparently knows too much information.
Here’s a walkthrough of The Demolished Woman in The Outer Worlds.
Head to Byzantium (Bureau of Exploration)
You will find Lockwood hiding in Byzantium. Head there first.
Stop by the Bureau of Exploration, you will meet Sherman Bradshaw at the reception. He is actually the contractor who failed to kill Lockwood.
You can tell him that Lockwood’s hiding in the tunnels or just avoid telling him anything. You can also ask for Lockwood’s office key from him.
Enter Lockwood’s office to retrieve her papers.
Look for Rachel Lockwood in the tunnels of Byzantium.
Her location is shown in the map below, marked by the green objective.
As you find her, Sherman will also appear to kill her. If you choose to let her live, Sherman will attack you.
In any case, you can kill him.
As we chose to let Lockwood live, Sherman attacked us and got himself killed.
Speak to Percival
Return to Percival to hand over Lockwood’s papers.
Sophia Akande knows that you spared her life and it made her disappointed, but she’ll still trust you to help her.