  We consider modified symmetric teleparallel gravity (STG), in which
gravitational Lagrangian is given by the arbitrary function of non-metricity
scalar $Q$ to study static and spherically symmetric charged traversable
wormhole solutions with non-commutative background geometry. The matter source
at the wormhole throat is acknowledged to be anisotropic, and the redshift
function has a constant value (thus, our wormhole solution is non-tidal). We
study the obtained field equations with the two functional forms of $f(Q)$ STG
models, such as linear $f(Q)=\alpha Q+\beta$ and non-linear $f(Q)=Q+mQ^n$
models under Gaussian and Lorentzian distributions. Our analysis found the
exact wormhole solutions for the linear STG model only. Also, for the
non-linear model, we derived numerically suitable forms of wormhole shape
functions directly from the modified Einstein Field Equations (EFEs). Besides,
we probed these models via Null, Dominant, and Strong energy conditions with
respect to free Modified gravity (MOG) parameters $\alpha$, $\beta$, $m$, and
$n$. We also used Tolman-Oppenheimer-Vokloff (TOV) equation to investigate the
stability of wormhole anisotropic matter in considered MOG. Finally, we plot
the equation of state.
