Hm, if we're going to prioritize the Protector, how do we draw him out? Preparation may favor him, he's a summoner with lots of connections. Presumably he holds court somewhere, but if he doesn't want to offer battle we're not guaranteed to find him and depending on Hunger's actions he may deduce our time constraints. We're getting into 'every hour counts' territory, making the couple spent negotiating painful. At the risk of making an atrocious pun, my instinct is to reprise the temple arc.
Target Claumgnor's places of worship and dismantle those unsightly edifices, maybe mixing in some rousing speeches about rising up against tyranny and the atrocities committed by reaving squads against the Lesser Kingdoms. The people of Nilfel have fallen short of their nation's name, but all the evils of recent years could be healed, if the rightful queen were to take the throne! The coup was recent enough that there's almost certainly a lot of Royalist sentiment lurking beneath the surface, if we give people a way to express it. Could coordinate with Eruntael, bring in his Legions while we incite open rebellion in Miren, killing the Protector's lackeys and making his presumptuous title a transparent lie.
We don't know how load-bearing the temples are, though, or how crucial the Protector's Patron Spirit is to his power. I'd really like to pick Adorie's brain about those, her family's supposed to have one too. How do the spirits interact with mythos, can we expect any help from that corner, what specific magic does her former gaoler command. Why is she still alive, that's another good one. Hopefully her family at least had enough time to impart House Mirellyian's secret lore, but we don't know how old Adorie is. Her apparent youth means very little given Nilfellian lifespans, even peasants benefit from an order-of-magnitude increase. Perhaps the fixation on baked goods is borne of solidarity, being a Christmas cake herself? Speaking of, we should Ennoble Adorie if we haven't done that already, no reason to be stingy with the buffs.