"shy character" is correct and is usable in written English
You can use this phrase when you are describing a fictional or real-life person who is timid or timidly reserved in social situations. For example, you could say, "The protagonist in the novel was a shy character who rarely interacted with others."
His painfully shy character Tyler gets a love interest and Amy's mission finds an audience.
Barkley is a genuinely reserved, shy character but a fierce determination to maximise his immense potential shines through nonetheless.
He was a shy character who did little talking off the field, but on it he led by example and where he went others followed.
I felt as though she'd created a very sassy (but evidently shy) character in Lara which wasn't reflected in much of her narration.
The movie showcases Queen Latifah's aptness with physical comedy and explores a shy character that in many ways is the opposite of her larger than life persona.
One is the staid scion of Toyota's founding family, groomed for the top job for years, a shy character who seems more comfortable mixing with the Toyota ranks in a neatly pressed factory jacket than appearing in the media spotlight.
They're more sort of bookish and shy characters.
Shy characters are not born protagonists; they are too passive to propel stories along.
Writing shy characters is notoriously tricky, but the award-winning Eimear McBride specialises in damaged ones, such as the young, Irish-girl-in-London narrator of The Lesser Bohemians, her followup to A Girl Is a Half-formed Thing.
It is easy to imagine Brown and Eastwood, two less than shy characters, slugging it out over the green baize but for both of them now is a time to focus on Southend's meeting with Crewe Alexandra in Sunday's Johnstone's Paint Trophy final, the first time the League Two club will have participated in a showpiece occasion at the national stadium.
Gene was the director and the star – and a different, shyer character off camera.
