Yes, the Aura can still be attached, as long as the ability doing the attaching doesn't target or is from a colorless source.
Protection from a quality normally gives protection from DEBT.
- DamageDamaged: Can't be damaged by a source with the specifiedstated quality.
- EnchantEnchanted/EquipEquiped/FortifyFortified: Can't be Enchanted, Equipped or Fortified by an objectpermanent with the specifiedstated quality.
- BlockBlocked: Can't be blocked by an objecta creature with the specifiedstated quality.
- TargetTargeted: Can't be targeted by a spell with the stated quality or by an objectability from a source with the specifiedstated quality.
Spectra Ward's ability provides a neutered form of Protection. Auras are not prevented from Enchanting the protected permanent by the Protection provided by Spectra WardSpectra Ward.
702.16m Some Auras both give the enchanted creature protection and say “this effect doesn’t remove” either that specific Aura or all Auras. This means that the specified Auras can legally enchant that creature and aren’t put into their owners’ graveyards as a state-based action. If the creature has other instances of protection from the same quality, those instances affect Auras as normal.
This means:
You can't cast a colored Aura targeting the permanent protected by Spectra WardSpectra Ward. (It's protected from being targeted.)
Colored Auras already attached to the permanent won't fall off. (It's not protected from being enchanted.)
You can attach a colored Aura the permanent protected by Spectra Ward.
For example, Enduring Ideal isn't hindered by Spectra Ward. (The permanent to which the Aura is being attached isn't protected from being enchanted, and the ability doesn't target.)
For example, Bruna, Light of Alabaster's ability will still work even if it's protected by Spectra Ward. (It's not protected from being enchanted, and the ability doesn't target.)
However, Aura Finesse would not be able to attach an Aura to a creature protected by Spectra Ward because the creature is protected from being targeted by Aura Finesse.