  The functionality of atomic quantum emitters is intrinsically linked to their
host lattice coordination. Structural distortions that spontaneously break the
lattice symmetry strongly impact their optical emission properties and
spin-photon interface. Here we report on the direct imaging of charge
state-dependent symmetry breaking of two prototypical atomic quantum emitters
in mono- and bilayer MoS$_2$ by scanning tunneling microscopy (STM) and
non-contact atomic force microscopy (nc-AFM). By substrate chemical gating
different charge states of sulfur vacancies (Vac$_\text{S}$) and substitutional
rhenium dopants (Re$_\text{Mo}$) can be stabilized. Vac$_\text{S}^{-1}$ as well
as Re$_\text{Mo}^{0}$ and Re$_\text{Mo}^{-1}$ exhibit local lattice distortions
and symmetry-broken defect orbitals attributed to a Jahn-Teller effect (JTE)
and pseudo-JTE, respectively. By mapping the electronic and geometric structure
of single point defects, we disentangle the effects of spatial averaging,
charge multistability, configurational dynamics, and external perturbations
that often mask the presence of local symmetry breaking.
