Both Uses of

appease
in
A Great and Terrible Beauty

This appeases Mrs. Nightwing, who smiles.†
Chpt 4 *

appeases = satisfies or pacifies (makes less angry or upset)

She's appeasing him, but he's far too pompous to realize that.†
Chpt 33

appeasing = satisfying or pacifying (making less angry or upset)

Definition:

satisfy or pacify (make less angry or upset) -- typically by giving something wanted

For example, a salesperson might give a discount coupon to appease an angry customer; or you might grab a quick snack to appease your hunger.