A device (10) administers a fluid (23) from a container (12) into a human cavity or animal cavity (66). The device includes a nozzle (20) configured to be placed in external contact with tissue surrounding an orifice (58) without penetrating the orifice. The nozzle includes a discharge opening (40), through which the fluid is ejected into the cavity, a base (24) disposed opposing the discharge opening, and a side wall (26) that extends from the discharge opening towards the base and configured so that the tissue surrounding the orifice conforms to the shape of the side wall to form a leaktight seal between the tissue and the orifice. An interior conduit (30) is disposed within the side wall and configured to deliver the fluid from the container to the discharge opening.