The phrase "weathered face" is correct and commonly used in written English.
Example: The old sailor's weathered face told the story of a lifetime spent at sea.
Dave Johnson has the thick hands and weathered face of a working farmer, not a politician.
Her deeply tanned, weathered face with its thousand little creases is a contour map of a long life.
And with his missing teeth, worn sweater and weathered face, Mr. Boscherini, 84, seems an unlikely hero in the quest to preserve biodiversity in the face of climate change.
Her lined and weathered face bears a heavy frown.
Dickey has a weathered face and courteous southern manners.
Mr. Cameron, 50, has a long, weathered face and big blue eyes.
They had hard, weathered faces.
Red, weathered faces, peasant faces, beneath caps and headscarves.
The tribesmen's narrowed eyes and weathered faces radiated distrust.
Both the aunt and the mother had brown, deeply weathered faces.
The food of Palermo, like its rocky shoreline and weathered faces, is a bit rough.
