What word means being forced to agree or accept?

Solution 1:

Depending on the reasons, one of the following words may make sense.

  1. Coerced
  2. Blackmailed
  3. Compelled
  4. Required
  5. Held hostage
  6. Obligated or bound

Solution 2:

Coercion is a common word for being forced against one’s will.

to compel or restrain by force or authority without regard to individual wishes or desires; to compel by force or intimidation.
        ―Free Dictionary

Likewise compel is used the same way, but is less forceful: to force, drive, or constrain: to necessitate or pressure by force.

In 1968, George Whitmore, Jr. was beaten by New York police and coerced to signing a 61 page confession that he murdered two women.
        ―New York Times Editorial: Who Will Mourn George Whitmore, Jr?

Now that I was compelled to think about it, reading was something that just came to me, as learning to fasten the seat of my union suit without looking around, or achieving two bows from a snarl of shoelaces.
        ―Harper Lee, To Kill a Mockingbird

Solution 3:

A exact equivalent is to bludgeon someone into doing something

Bludgeon:

[...]

1.1 Force or bully (someone) to do something: she was determined not to be bludgeoned into submission

No one, however, has reported on the extent to which voters were bludgeoned into voting one way or another by various local thugs

Most of these civil societies have been bludgeoned into silence by their regimes, with even the more representative systems denying their citizens true political participation.

Mark was a State employee with no criminal history before he was indicted for a crime that he did not commit and now his family are financially ruined and he has been bludgeoned into signing a plea bargain by the legal vampires.

Solution 4:

Acquiesce, essentially to agree without protest, yet you'd prefer something else