A pneumostoma management system includes a pneumostoma management device for maintaining the patency of a pneumostoma and a drug delivery device for pneumostoma care. The drug delivery device may be used to introduce therapeutic agents into the pneumostoma for direct treatment of the pneumostoma, treatment of the lung by way of collateral ventilation, and/or treatment of non-lung tissues by diffusion into the bloodstream. The drug delivery device includes a therapeutic agent dispenser for supplying a therapeutic agent and a propellant at positive pressure, an outlet and a connector for correctly positioning the outlet relative to a pneumostoma management device. The drug delivery device includes a self-centering and self-sealing connector for engaging the pneumostoma management device.