Term for a choice that you like and you dislike?

single-word-requests phrase-requests expression-choice

How about the Hobson's choice?

Hobson's choice: a situation in which you are supposed to make a choice but do not have a real choice because there is only one thing you can have or do.


An offer you can't refuse?

If the other alternative is unacceptable, then you have no real choice. This was made famous in the film The Godfather, when Marlon Brando's character Don Corleone said, "Make him an offer he can't refuse."

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