Daily Solo Quests, as their name suggests, are repeatable once a day and are tailored toward single players. The Divine Deputation quest isn’t a prerequisite, but you can complete it to learn more about Summerset’s Daily Quests.
Something else to note: though there are only two Daily Solo Quests listed in this section, there are actually several more listed in the “Delves” section of the book. Almost all of the Daily Solo Quests in Summerset revolve around its many delves, so if you’re looking for details on a specific Daily Quest and you’re not finding it here, you know where to look.
Upon completing one of these quests, you’ll earn yourself a Summerset Daily Recompense, which often houses decent new equipment and other quality goods.