The end of the elongated tubular element of the appliance that is designed to be inserted into a body cavity is formed entirely of soft, compliant material. That end carries an inflatable balloon made of non-expandable material, formed in the fully inflated shape, to prevent overexpansion. The balloon is inflated to a predetermined low pressure level to prevent pressure necrosis in the adjacent tissue. A method and apparatus for introducing the soft end of the appliance into the body cavity are also provided. The introducer apparatus includes rigid core surrounded by a soft, compliant sleeve. The sleeve extends beyond the rigid core to form an invertable section. The soft end of the appliance is situated adjacent the apparatus, the balloon is wrapped around the apparatus, and the sleeve section is inverted over the appliance, compressing the balloon and forming a soft, rounded insertion tip. The unit is then introduced into the body cavity. After the appliance is separated from the apparatus, the apparatus is withdrawn.