This section of the Guide to Greedfall will get you acquainted with the Aphra romance thread in the game. To romance her, you must complete three side missions assigned by her: Islander Knowledge, The Cave of Knowledge, and The Linking Ritual.
Correct answers in dialogues with Aphra
What did she think when she was standing around the campfire?: Tell her about the two young people. + 2 reputation with Aphra.
Did she enjoy the trip in the cave?: Tell her that you felt you had learned a lot. + 2 reputation with Aphra.
Did the ceremony change her view of things?: Answer her, that you hope to be part of it. + 2 reputation with Aphra.
Affair with Aphra in Greedfall
After completing side quests and answering the dialogue correctly, you will be able to arrange an intimate meeting with Aphra. Travel to a residence in New Serene, go upstairs and talk to a woman. Agree to spend the night together. On the next day, you can confess your love to a woman, which will result in starting a relationship with her.