IPA: /fərˈɡɪvɪŋli/
KK: /fərˈɡɪvɪŋli/
In a manner that shows a willingness to forgive or be lenient.
She smiled forgivingly after he apologized for his mistake.
Forgivingly → It is formed from "forgive" (from Old English "forgiefan", meaning to give up resentment) and "-ly" (meaning in a manner). The word "forgivingly" means in a manner that shows forgiveness or the act of giving up resentment.
Think of the act of 'giving up resentment' when you remember that 'forgivingly' means to act in a way that shows forgiveness.