Graceful

adj.calm, thoughtfulliterary

Meaning 1

Moving or shaped with smooth, balanced elegance.

Reach for it when praising physical movement, form, or visual proportion

The graceful arch carries the roof without blocking the windows.

professional
fluid
movement flows continuously between positions
not when Fluid describes mechanics without praising proportion or dignity.
formal
elegant
refined simplicity in shape or movement is the focus
not when Elegant can be static and need not suggest easy motion.
literary
lithe
a slender body moves with light flexibility
not when It is body-specific and inappropriate for a response or building.
literary
supple
flexible physical movement looks easy
not when Supple applies to bodies and materials, not architectural form.

Handled with tact, dignity, and consideration.

Reach for it when praising a response or transition that protects other people's dignity

Her graceful correction preserved the speaker's point while fixing the date.

everyday
smooth
a transition happens without disruption
not when Smooth can hide conflict or manipulation and is not always gracious.
warm
considerate
the response protects another person's feelings or needs
not when Considerate says less about polish and composure.
professional
diplomatic
competing interests are acknowledged skillfully
not when Diplomatic may imply strategic compromise rather than sincere courtesy.
professional
tactful
careful wording avoids needless offense
not when Tactful can be cautious without the ease and dignity of graceful handling.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.