"賠償金”は「Compensation」「Recompense」という英語を使えます。それぞれの説明は以下です。
「Compensation」
This is a term for when something, usually money, is awarded to someone in recognition of loss, suffering, or injury.
「Recompense」
Normally when someone is awarded something in recognition of suffering or damage.
I hope this will help you.
お役に立てば嬉しいです