IPA: /ʌnˈweɪvərɪŋli/
KK: /ʌnˈweɪvərɪŋli/
In a way that shows strong determination and does not change or waver.
She unwaveringly supported her friend during tough times.
Unwaveringly → It is formed from "un-" (meaning not), "wavering" (from the root "wave" which comes from Old English "wafian", meaning to move to and fro), and "-ly" (meaning in a manner of). The word "unwaveringly" means in a manner that is not moving to and fro, or steadfastly.
Think of being 'not' ('un-') 'moving to and fro' ('wavering') — that's why unwaveringly means to do something in a steadfast manner.