A Hat Fit for a Lady

A Hat Fit for a Lady is a in Xenoblade Chronicles 2. It is a DLC quest introduced in version 1.4.1 as part of the DLC Quest List - Distribution 3 DLC. It can be received from Beemer at Fonsa Myma Port in Fonsa Myma, Kingdom of Uraya. Depending on the route chosen, Vale will be able to make the Fabulously Fierce Hat at Vale's Weaving either during on upon completion of the quest.

Quest objectives
Route A (talk to Lhagen with Vale and clear the level 1 Weaving Field Skill check): Route B (speak to Hatatat):
 * Go to the Argentum Bazaar and search for Lhagen.
 * A Girls' Talk level 5 check must be cleared to progress.
 * Speak with the nearby hat shops, or find a with the ability to make a hat.
 * Have Vale make the hat at Meske's house in Leftheria.
 * Deliver the hat to Lhagen at the Argentum Bazaar.
 * Ask Llagen in the Argentum Bazaar about her vision for the hat.
 * Tell Hatatat in the Argentum Bazaar about Lhagen's vision for the hat.
 * Gather all the materials Hatatat needs to make the hat.
 * Sun-Dappled Curtains (3)
 * Crystal Camellia (6)
 * Maple Bite (6)
 * Rainbow Parfait (4)
 * Give the materials to Hatatat in the Argentum Bazaar.
 * Deliver the hat to Lhagen at the Argentum Bazaar.

Results
"After you got a hat that was acceptable to Lhagen, she went back to Uraya. You can now make the hat at any time. (DLC Quest)"

Deliver the hat to Lhagen
The dialogue is the same as Route A's.