What it means
A wallflower is the shy one who hangs back at the edge of the party, leaning against the wall, watching everyone else dance and chat but never quite jumping in. It's not coldness, just nerves or quiet shyness, the person who'd love to join but waits to be pulled in. There's something tender about the word, more sympathy than mockery.
Usage examples
"I was a total wallflower at school discos, glued to the wall all night."
"Coax her onto the dance floor, she's a wallflower until someone takes her hand."
"He spent the whole wedding being a bit of a wallflower till his cousins dragged him into the photos."
"I'm useless at big house parties, mate. Give me ten minutes and I'll turn into a wallflower by the snacks."
Where it comes from
It comes from the literal wallflower, the plant name, and by the early 19th century it was being used for a person stuck at the edge of a dance or social event instead of joining in. The picture did the heavy lifting from day one: someone quietly blooming by the wall while the room swirls on without them.