[1Old Pro]

Definition of Hobson's choice 1 : an apparently free choice when there is no real alternative 2 : the necessity of accepting one of two or more equally objectionable alternatives

[ConservativeMind]

Dilemma:

“A dilemma is a problem offering two possibilities, neither of which is unambiguously acceptable or preferable.”

https://en.wikipedia.org/wiki/Dilemma

Hobson’s Choice:

“A Hobson’s choice is a free choice in which only one thing is offered.”

https://en.wikipedia.org/wiki/Hobson%27s_choice