smudge

A blemish or smear, especially a dark or sooty one.

“There was a smudge on the paper.”

Dense smoke, such as that used for fumigation.

A heap of damp combustibles partially ignited and burning slowly, placed on the windward side of a house, tent, etc. to keep off mosquitoes or other insects.

(especially in the phrase "smudge stick" = "stick of incense") A quantity of herbs used in suffumigation.

To obscure by blurring; to smear.

To soil or smear with dirt.

To use dense smoke to protect from insects.

To stifle or smother with smoke.

To burn herbs as a cleansing ritual (suffumigation).

To subject to ritual burning of herbs (suffumigation, smudging).