Alisaie has explained the real reason that Tesleen sent you to get a nectarine, and you return to deliver it to her.
Requirements
This quest is available if you have completed the quest A Purchase of Fruit.
Starting the Quest
Talk to Tesleen in Amh Araeng to begin the quest. There will be a cutscene. This one is important, so it is recommended to watch it either now or via the Unending Journey in an inn room.
Speak with Tesleen
Talk to Tesleen to proceed.
Search the Area for Halric
Go southwest to go outside, then go southeast to where the orange arrow is pointing in the minimap. Check on the sparkling Destination to proceed.
Continue Searching for Halric
Go west to where the orange arrow is pointing in the minimap and check on the sparkling Destination. Defeat the Forgiven Folly that attacks.
Afterward, go north to where the orange arrow is pointing in the minimap. Check on the sparkling Destination to proceed. There will be a cutscene. Some players may find this cutscene disturbing. If you do not want to watch it, here is a summary: This cutscene is important, so you should either read the description above or watch the cutscene, either now or via the Unending Journey in an inn room.
Speak with Alisaie
Talk to Alisaie to proceed.
Speak with the Carers
Go to the quest icons on the map to talk to Cassana and Willfort.
Speak with Halric
Go to the quest icon on the map and talk to Halric to complete the quest.
Next Main Scenario Quest
After you complete the quest, talk to Alisaie to accept the next quest: Tears on the Sand. There will be a cutscene. This one is important, so it is recommended to watch it either now or via the Unending Journey in an inn room.