This will be your next main mission after repairing your ship, so this is unmissable.
https://starbounder.org/Find_Clues_to_Locate_the_Floran_Arti...When returning to Esther after fixing your ship, she'll give you an upgrade to your scanner(The N key by default)and have you go scan around The Outpost to learn more about it. You'll want to be scanning everything you can, as once you get to Tier 4 Durasteel, you'll be able to build the Pixel Printer, which allows you to spend Pixels to create almost everything in the game that you can scan. This doesn't include blocks, as they aren't really scannable. Then you'll be sent out into the galaxy to scan specific Floran objects. You can find these in Floran villages, and Floran based dungeons. These places seem to show up more often on Forest Planets, but they can appear on other types as well. You'll know you've found an object if it's glowing green before you scan it. On the plus side, if you've already found and "borrowed" some of these objects, you can simple place them down from where you've stored them, and scan them that way.
After scanning enough Floran objects, Esther will ask you to return to her, where she'll give you the coordinates for the Ceremonial Hunting Caverns to find the Floran Artifact. You'll again find this mission from your ship's AI. This where you'll find Nuru.
All 4 subsequent main missions will follow like this. Scanning specific racial items, and then going to a story dungeon to find their Artifacts.
https://starbounder.org/Ceremonial_Hunting_CavernsI went into with Tier 3 Titanium armor and equipment. But I'm sure you could go in with lesser if you are feeling bold, or even come back with later Tier equipment to make it even easier. Though the wiki does list this dungeon as Tier 3. The Caverns is another pretty simple to navigate story dungeon, where you'll find the Ixodom boss at the end. Nuru will even help you fight this boss, and I found it very easy. After you'll pick the Floran Artifact, and you and Nuru will return to The Outpost, where you speak to Esther like usual to finish the quest.