IPA: /ˈweɪvərɪŋli/
KK: /ˈweɪvərɪŋli/
In a manner that shows uncertainty or hesitation; not steady or firm.
She spoke waveringly, unsure of her words.
Waveringly → It is formed from "wavering" (from the verb "wave" which comes from Old English *wafian*, meaning to move back and forth) and the suffix "-ly" (meaning in a manner of). The word "waveringly" means in a manner that moves back and forth or is uncertain.
Think of the word 'wave' which means to move back and forth, and remember that 'waveringly' describes doing something in an uncertain or unsteady manner.