Cthulhu-inspired Cultist Names:

High Priest/Priestess Titles:

• High Priest of the Drowned City
• Servant of the Deep Ones
• Whisperer of R'lyeh
• Oracle of the Abyss
• Prophet of the Old Ones
• Guardian of the Cyclopean Gate
• Keeper of the Black Codex
• Hand of the Great Old One
• Chosen of Cthulhu
• Avatar of the Kraken

Cultist Names (Male):

• Zalg'goth
• Dagon's Son
• Hydrarachnis
• Y'golonac
• Tsathoggua's Devotee
• Shub-Niggurath's Spawn
• Hastur's Shadow
• The Crawling Chaos
• The Star-Spawn of Cthulhu
• The Deep One's Embrace

Cultist Names (Female):

• Y'ha-nthlei
• Daughter of the Deep
• Sister of the Abyss
• The Star-Cursed One
• The Kraken's Bride
• The Drowned Maiden
• The Unnamable One
• The Black Tentacle
• The Abyssal Siren
• The Twisted One

Location-Based Names:

• The R'lyeh Initiate
• The Innsmouth Cultist
• The Dunwich Horror
• The Arkham Devotee
• The Kingsport Heretic

Descriptive Names:

• The Tentacled One
• The Star-Watcher
• The Dream-Walker
• The Shadow-Binder
• The Mind-Eater
• The Unspeakable Horror
• The Crawling Chaos
• The Devourer of Souls
• The Bringer of Madness
• The Silent Watcher

Combination Names:

These combine elements from the above categories for a more unique feel. For example:

• Zalg'goth, Servant of the Deep Ones
• Y'ha-nthlei, Oracle of the Abyss
• Dagon's Son, The Crawling Chaos
• The Drowned Maiden, Whisperer of R'lyeh
• The Star-Cursed One, Keeper of the Black Codex

Remember to adapt and combine these names to fit your specific needs and creative vision. You can also use these as inspiration to create entirely new names.