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Using MUSE AO data, we probe the ISM in the local spiral galaxy NGC 7793 at aspatial resolution of $\sim$ 10 pc. We identify HII regions and compile acatalogue of supernova remnants (SNRs), planetary nebulae (PNe) and Wolf Rayetstars (WR). We compute electron densities and temperatures from the[SII]6716/6731 and [SIII]6312/9069 line ratios. We study the properties of theionised gas through BPT diagrams combined with gas velocity dispersion. Wespectroscopically confirm 2 previously detected WR stars and a SNR and reportthe discovery of 7 WR, 1 SNR, and 2 PNe. The diffuse ionized gas (DIG) fractionis between $\sim$ 27 and 42% depending on the method used to define the HIIregion boundaries. In agreement with previous studies, we find that the DIGexhibits enhanced [SII]/H$\alpha$ and [NII]/H$\alpha$ ratios and a mediantemperature that is $\sim$ 3000 K higher than in HII regions. We also observean apparent inverse correlation between temperature and H$\alpha$ surfacebrightness. Overall, the observed [SII]6716/6731 ratio is consistent within1$\sigma$ with $n_e$ < 30 cm$^{-3}$, with an almost identical distribution forthe DIG and HII regions. The velocity dispersion of the ionised gas indicatesthat the DIG has a higher degree of turbulence than the HII regions. Comparisonwith photoionisation and shock models reveals that the diffuse component canonly partially be explained via shocks and that it is most likely consistentwith photons leaking from density bounded HII regions or with radiation fromevolved field stars. [abridged]

Studying the ISM at ~10 pc scale in NGC 7793 with MUSE -- I. Data description and properties of the ionised gas