i Register
In some senses, demure is marked as obsolete. Watch for register when choosing this word.
adj
Modest, quiet, reserved, or serious.
She is a demure young lady.
Nan was very much delighted in her demure way, and that delight showed itself in her face and in her clear bright eyes.
Affectedly modest, decorous, or serious; making a show of gravity.
Miss Lizzy, I have no doubt, would be as demure and coquettish, as if ten winters more had gone over her head.
verb
To look demurely.
Your Wife Octavia, with her modeſt eyes, / […] ſhall acquire no Honour / Demuring vpon me: