IPA: /ˈɪn.wɚd.li/
KK: /ˈɪnˌwɜrdli/
In a way that relates to the inside or inner part of something; privately or to oneself.
She smiled inwardly, pleased with her accomplishment.
Inwardly → It is formed from "inward" (from Old English "inweard", meaning toward the inside) and "-ly" (a suffix meaning in a manner of). The word "inwardly" means in a manner that is directed toward the inside or inner self.
Think of being directed "toward the inside" — that's what inwardly means, as it describes a manner of looking or feeling within.