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Loving a Shadow when they're in love with the idea of someone rather than the actual person- the standard celebrity simp would be an example.
A related trope could be Satellite Character, referring to how one character's personality revolves solely around their interactions with another.
Sycophantic Servant or Yes-Man for when the person they idolize is their boss/superior.
Edited by MonaNaito
Someone who is obsessed over someone and fawns over them constantly.