As long as the card Nylea, Keen-Eyed -
(or the parallel red card, or Purphoros, Bronze-Blooded, or Athreos, Shroud-Veiled, or other specular cards, often with the subtype "God") -
is not yet a creature, since his devotion to the indicated color has not yet reached the sufficient value, does he still possess the indestructible ability? I'll explain better.
For example, since it's a card that's also an enchantment, could it be destroyed by a Disenchant as long as it's not a creature; or is the indestructible ability active even when it's not yet a creature?