This trophy is titled "
Executive Decision" and it's an unmissable story based trophy for Episode 5, Chapter 5.
Chapter Walkthrough:
*** Spoiler - click to reveal ***The knocked out guard will be thrown into the room in which Lady Arkham stands. Talk with Vicki in an attempt to discover Alfred's whereabouts. She won't disclose them, but instead attacks and flees. Give chase down the halls of Arkham and defend yourself from the unlocked prisoners. Continue chasing after Lady Arkham, performing a couple of quick time events along the way, saving some orderlies. In the cafeteria, link the inmates to objects to save the staff being attacked with QTEs. Defend yourself from Victor Zsasz after destroying Lady Arkham's mask. Eventually the GCPD will storm Arkham to regain control so Batman can continue chasing after Vicki into a cell. Batman demands to be taken to Alfred and she'll blast the floor, creating a hole to the basement.
Batman comes to with Vicki nowhere in sight. Batman will navigate the halls while speaking to Vicki about letting Alfred go. As Batman is walking through the halls, there's a couple of QTEs in order to avoid some traps set by Vicki. Batman will eventually find Alfred tied up, but Vicki attacks Batman, separating the two of them while threatening Alfred's life. You're given the choice of Removing Cowl or Attack Vicki. If you attack Vicki, she attacks Alfred and he'll lose his eye to be seen in later cutscenes. As soon as the decision is made, the trophy will unlock.