The delta-f gyrokinetic model originally formulated for core turbulence is extended to treat medium-amplitude electromagnetic turbulence expected in the transcollisional edge regions of modern tokamaks. Both electrons and ions, and the field polarization equations, are followed. The effect on the turbulence of an externally applied E × B velocity shear and alternatively an initial E × B vorticity profile to which the turbulence can back-react are studied. Imposed shear reduces the short wavelength component but increases the long wavelengths. The localized vorticity layer has a more general suppressive effect.