To see an extra quest icon next to your other quests, you need to turn on Quest Tracking.

Here's how:

👁️‍🗨️ Talk to the character who gave you the quest. In the quest description window, find a round icon with an eye in the upper right corner. Click it to turn on Quest Tracking.

👁️‍🗨️ Or, open the quest book and find the quest you want to track. Next to the quest name, there's a round icon with an eye. Click it to turn on Quest Tracking.

📋 You can turn tracking on or off for any quest. Track the quests you want quick access to.

📋 You can track up to four quests at a time.