elegant, refined, skillful
嫻 centers on cultivated grace and practiced ability: a refined elegance that comes from being skillful and well-practiced.
嫻 combines 女 (woman) with 閑, which likely contributes the sound and carries a sense of leisure or refinement, suggesting a woman of cultivated grace.
A woman 女 beside 閑 (leisure, calm) suggests someone who has the time to become refined and skillful, moving with elegant ease.
For カン, picture a calm, elegant woman who can handle any task with skill: can -> カン, and she can do it gracefully.