IPA: /ˈbæflɪŋli/
KK: /ˈbæf.lɪŋ.li/
In a way that is confusing or difficult to understand.
The instructions were bafflingly complicated, leaving everyone confused.
Bafflingly → It is formed from "baffle" (from Old French *bafler*, meaning to stammer or to confuse) and the adverbial suffix "-ly" (meaning in a manner of). The word "bafflingly" means in a manner that confuses or perplexes.
Think of something that causes confusion or makes you stammer ('baffle') and remember that when something is bafflingly confusing, it happens in a confusing manner.