If you do something shyly, you do it in a way that shows you are nervous or not very sure of yourself.
Doing something shyly can make people think you are sweet or cute.
Examples:
She smiled shyly at the boy she liked.
He spoke shyly when he was asked to talk in front of the class.
The little girl waved shyly at her grandparents.
The puppy approached the big dog shyly.
The rabbit peeked out of its hole shyly, looking left and right.
The baby bear approached the honey shyly, not sure if it was safe.