Abstract: A hypodermic needle safety enclosure which is designed principally for a hypodermic needle that is located in the shape of a right angle. The hypodermic needle has mounted thereon a wing assembly which can take the form of a single integral member having a plurality of spaced apart fold lines which permits the integral member to be folded between a mounting position and a protective position or a pair of wing members which are mounted in a scissors arrangement which is movable between a mounting position and a protective position. Within both embodiments of safety enclosure, upon withdrawing of the needle from the installed position within the body of a human, the wing assembly is automatically positioned to encase the sharpened point of the needle thereby preventing undesired injury by the needle to the medical practitioner that is installing and removing of the enclosure.