We present similar to 0.15arcsec spatial resolution imaging of SHiZELS-14, a massive (M-* similar to 10(11) M-circle dot), dusty, star-forming galaxy at z = 2.24. Our rest-frame similar to 1 kpc-scale, matched-resolution data comprise four different widely used tracers of star formation: the H alpha emission line (from SINFONI/VLT), rest-frame UV continuum (from HST F606W imaging), the rest-frame far-infrared (from ALMA), and the radio continuum (from JVLA). Although originally identified by its modest H alpha emission line flux, SHiZELS-14 appears to be a vigorously star-forming (SFR similar to 1000M(circle dot) yr(-1))) example of a submillimetre galaxy, probably undergoing a merger. SHiZELS-14 displays a compact, dusty central starburst, as well as extended emission in H alpha and the rest-frame optical and FIR. The UV emission is spatially offset from the peak of the dust continuum emission, and appears to trace holes in the dust distribution. We find that the dust attenuation varies across the spatial extent of the galaxy, reaching a peak of at least A(H alpha) similar to 5 in the most dusty regions, although the extinction in the central starburst is likely to be much higher. Global star-formation rates inferred using standard calibrations for the different tracers vary from similar to 10-1000M(circle dot) yr(-1), and are particularly discrepant in the galaxy's dusty centre. This galaxy highlights the biased view of the evolution of star-forming galaxies provided by shorter wavelength data.