Disclosed herein are a packaged medical adhesive composite and a method of delivering the composite. The medical adhesive composite comprises a single tab as a release liner that partially covers the adhesive side of the composite. The tab can be used to apply the composite with only a single hand, even without compromising the sterility of the absorbent pad used to cover a wound. The medical adhesive composite can comprise an especially thin supple backing and be delivered over a wound with little or no wrinkling of the backing. The medical adhesive composite can be delivered such that the composite overlaps with itself when applied, for example, to a finger.