We present two-dimensional spectroscopy of the extremely metal-deficient blue compact dwarf (BCD) galaxy SBS 0335-052E aiming to studyphysical conditions, element abundances and kinematical properties of the ionised gas in this galaxy. Observations were obtained in the spectral range 3620-9400A with the imaging spectrograph GIRAFFE installed on the UT2 of the Very Large Telescope (VLT). These observations are the first ones carried out so far with GIRAFFE in the ARGUS mode which allows to obtain simultaneously 308 spectra covering a 11.4x7.3 region. We produced images of SBS 0335-052E in the continuum and in emission lines of different stages of excitation. We find that while the maximum of emission in the majority of lines, including the strong lines Hbeta 4861A, Halpha 6563A, [OIII] 4363,5007A, [OII] 3726,3729A, coincides with the youngest south-eastern star clusters 1 and 2, the emission of HeII 4686A line is offset to the more evolved north-west clusters 4,5. This suggests that hard ionising radiation responsible for the HeII 4686A emission is not related to the most massive youngest stars, but rather is connected with fast radiative shocks. This conclusion is supported by the kinematical properties of the ionised gas from the different emission lines as the velocity dispersion in the HeII 4686A line is systematically higher, by ~50%-100%, than that in other lines. The variations of the emission line profiles suggest the presence of an ionised gas outflow in the direction perpendicular to the galaxy disk. (abridged)
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