Her only justification lay in the fact that she had been able to discern no method of rescuing him from a blacker ruin than had overwhelmed herself except by acquiescing in Roger Chillingworth’s scheme of disguise.
There are no more uses of "acquiesce" in the book.
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She is opposed, but will ultimately acquiesce to the will of the majority.
You can make them acquiesce, but don’t expect them to be happy about it.