You can explore multiple routes in almost every Remnant 2 area, and The Forgotten Kingdom DLC does a great job of this. While Lydusa demands that you give them the Cherished Fracture, there is another location where you can offer it for various rewards.
Return the Precious Thing to Lydusa or to the Temple of the Stone Goddess | Remnant 2 DLC – The Forgotten Kingdom
The second location is at Goddess' Rest, where you can offer the Cherished Fracture to a ritual bowl, which will grant you additional rewards. You might be wondering if this will make things harder for your Remnant 2 character, since Lydusa places a curse on you and has unique rewards for defeating her. Here's what you need to know to earn Lydusa's reward or the one you receive from Goddess' Rest.
Once you free the Cherished Fracture from the statue after releasing the waterfall in Luminous Vale, your first option is to take it to Lydusa in the Bloodless Throne. After talking to her, it will initiate a fight against Lydusa and you will have to defeat her in combat.
Lydusa can be a particularly tough boss, as she frequently flies around and hurls magic at you at all times. After defeating her, however, you’ll free yourself from the curse and receive the Eye of Lydusa crafting material. You can use this item to craft the Monolith, a long gun that can only be unlocked if you own The Forgotten Kingdom DLC. Anyone looking to add a long gun to their collection will need to take down Lydusa first. The next alternative is to give the Cherished Fracture to the altar at the Goddess’ Rest.
