The present invention relates to heel stabilizing technology that can be used alone (in conjunction with a wearer's own shoes or shoe covers), incorporated within shoes, or incorporated within shoe coverings for shoes with flat to any height heels. When incorporated into a shoe or shoe cover, the present invention has a heel tension fastener located at the back and/or sides of the shoe cover which, when engaged, provides a tension which is countered by a upper stabilizing means consisting of anchoring fastener(s) and/or anchoring marerial(s) located at a strategic point between the mid heel and below the knee. The tension created between the heel tension fastener and the upper stabilizing means provides the wearer with greater balance and less teetering from side-to-side when wearing the shoe cover over a shoe with any height heel. When incorporated into a shoe covering, the present invention relates to a shoe covering for shoes with flat to any height heels, is waterproof or water-resistant, is made of a non-porous, flexible material, with a slip-resistant, sufficiently rigid sole, and provides increased stability for wearers of heels of varying heights due to its slip-resistant feature and the tension provided by the heel tension fastener which is countered or off-set by a strategically positioned fastener. The shoe cover can also be compact to provide for convenient carrying, is fashionable, can optionally have the capability of having its leg shaft height varied, and may or may not have a self-grip fastening, elastic or any other mechanism to grip the ankle or calf of the wearer. The shoe cover has an opening at one end of the leg shaft so that a shoe can easily be inserted into the main body portion. The shoe cover can further be secured to a section of the front portion of the wearer's shoe by an elastic portion or other means of fastening, and then additionally at the ankle and/or leg. The shoe cover, while having a sole that is rigid relative to the leg shaft and main body portion, is preferably inexpensive, lightweight and sufficiently flexible to be folded into a compact size for emergency use, such as in a purse, pocket, briefcase, backpack or the like.