The recently reported observation of VFTS 243 is the first example of a massive black-hole binary system with negligible binary interaction following black-hole formation. The black-hole mass ($\ensuremath{\approx}10{M}_{\ensuremath{\bigodot}}$) and near-circular orbit ($e\ensuremath{\approx}0.02$) of VFTS 243 suggest that the progenitor star experienced complete collapse, with energy-momentum being lost predominantly through neutrinos. VFTS 243 enables us to constrain the natal kick and neutrino-emission asymmetry during black-hole formation. At 68% confidence level, the natal kick velocity (mass decrement) is $\ensuremath{\lesssim}10\text{ }\text{ }\mathrm{km}/\mathrm{s}$ ($\ensuremath{\lesssim}1.0{M}_{\ensuremath{\bigodot}}$), with a full probability distribution that peaks when $\ensuremath{\approx}0.3{M}_{\ensuremath{\bigodot}}$ were ejected, presumably in neutrinos, and the black hole experienced a natal kick of $4\text{ }\text{ }\mathrm{km}/\mathrm{s}$. The neutrino-emission asymmetry is $\ensuremath{\lesssim}4%$, with best fit values of $\ensuremath{\sim}0--0.2%$. Such a small neutrino natal kick accompanying black-hole formation is in agreement with theoretical predictions.