No! Not at all! I am deeply religous and I see a psychic all the time!
psychic type pokemon are weak against psychic steel and dark
Psychic is strong against Poison and Fighting, weak against Psychic and Steel, and has no effect on Dark. Bug, Dark, and Ghost are strong against Psychic. Psychic and Fighting are weak against it. There are no types that have zero effect on it.
It differs among card but generally speaking, psychic is weak against psychic themselves.
Psychic and Ghost
The pokemon that are strong against psychic are bug, dark, and ghost.
Psychic-Type moves are weak against Steel-Types and other Psychic-Types. Psychic-Type Pokémon are weak against Ghost-Types, Bug-Types, and Dark-Types.
Fighting types are weak against psychic and flying types.
Ghost & Flying. I believe that's it! Not dark or bug because although they're super-effective against Psychic, they are not-effective against Fighting. And not Psychic, because though it's super-effective against Fighting, it's not-effective against Psychic.
Psychic type Pokemon are weak to Dark, Bug and Ghost type moves. Psychic Pokemon can also struggle against Steel types as not all Psychic Pokemon can learn moves effective against them. Overall the best type to use against Psychic types is the Dark type. Since the Dark type is not only super effective against them but is also immune to Psychic moves.
There are 3 types that work best against psychic Pokemon: Bug,Rock,Ghost, and Dark.
Fighting-Type moves are weak against Flying-Types, Grass-Types, Poison-Types, and Psychic-Types. Fighting-Type Pokémon are weak against Flying-Types and Psychic-Types.
Regardless of their type, Pokemon can learn a variety of moves and attacks, so, Psychic is not immune to any Pokemon. If you are referring to what "type" has no effect against Psychic, the answer is none. Psychic isn't immune to any type. It is resistant to Fighting and Psychic attacks though. There is one thing, however, back in Pokemon Blue, Red and Yellow, Psychic used to be immune to Ghosts, but that was years ago and strangely, after those 3 games, Psychic became weak to Ghost.