In general, if an item is temperable, but does not benefit from a smithing perk, this is usually a result of the item lacking an appropriate material keyword. Find the Weapon record for any Daedric weapon (should have one of these FormIDs), look in its keyword list for a keyword indicating that it is a Daedric weapon (I would guess that the name would be WeaponMaterialDaedric
, or something along those lines), and then add the same keyword to (each leveled version of) the Nightingale Blade. You probably also want to create a tempering recipe for NightingaleBlade05
; these are under Constructible Objects, and you can just copy and modify the one for NightingaleBlade04
.
(Hint: To quickly find the relevant COBJ record, right click NightingaleBlade04
in the Weapons list and choose "Use Info" - this will pop up a window of everything in the game that references that record, including its tempering recipe.)