  We present Multi-Unit Spectroscopic Explorer (MUSE) integral-field
spectroscopy of ESO 253$-$G003, which hosts a known Active Galactic Nucleus
(AGN) and the periodic nuclear transient ASASSN-14ko, observed as part of the
All-weather MUse Supernova Integral-field of Nearby Galaxies (AMUSING) survey.
The MUSE observations reveal that the inner region hosts two AGN separated by
$1.4\pm0.1~\rm{kpc}$ ($\approx 1.\!\!^{\prime\prime}7$). The brighter nucleus
has asymmetric broad, permitted emission-line profiles and is associated with
the archival AGN designation. The fainter nucleus does not have a broad
emission-line component but exhibits other AGN characteristics, including
$v_{\rm{FWHM}}\approx 700~\rm{km}~\rm{s}^{-1}$ forbidden line emission,
$\log_{10}(\rm{[OIII]}/\rm{H}\beta) \approx 1.1$, and high excitation potential
emission lines such as [Fe$~$VII]$~\lambda6086$ and He$~$II$~\lambda4686$. The
host galaxy exhibits a disturbed morphology with large kpc-scale tidal
features, potential outflows from both nuclei, and a likely superbubble. A
circular relativistic disk model cannot reproduce the asymmetric broad
emission-line profiles in the brighter nucleus, but two non-axisymmetric disk
models provide good fits to the broad emission-line profiles: an elliptical
disk model and a circular disk + spiral arm model. Implications for the
periodic nuclear transient ASASSN-14ko are discussed.
