IPA: /ədˈmaɪərɪŋli/
KK: /ədˈmaɪərɪŋli/
In a way that shows respect and approval for someone or something.
She looked at the painting admiringly, appreciating the artist's skill.
Admiringly is formed from "admire" (from Latin "admirari", meaning to regard with wonder or esteem) and "-ingly" (a suffix used to form adverbs indicating manner). The word "admiringly" means in a manner that shows admiration or respect.
Think of 'admire' as regarding something with wonder, and the '-ingly' shows how you do it — so when you act admiringly, you are showing your respect and wonder.