Sentence:  Cathy was a powerful ally at home; and between them they at length persuaded my master to <WSD>acquiesce</WSD> in their having a ride or a walk together about once a week, under my guardianship, and on the moors nearest the Grange: for June found him still declining. 
Meaning of the word marked with <WSD> tags:  To rest satisfied, or apparently satisfied, or to rest without opposition and discontent (usually implying previous opposition or discontent); to accept or consent by silence or by omitting to object.