The present invention provides a cosmetic kit for making up and/or for care of keratinous material, the kit comprising at least: • a container containing at least one cosmetic composition in the form of a water-in-oil, oil-in-water or multiple emulsion, comprising at least 30% by weight of aqueous phase relative to the total weight of said composition and having a viscosity measured at 25° C. and at a shear rate of 200 min−1 of strictly more than 0.8 Pa·s, said composition comprising at least one colorant, and • an applicator device (8) for applying the composition, provided with an applicator member (10) including an application surface that is capable of turning about at least one axis (X) or center of rotation in response to being moved in engagement with the keratinous material.
