  This manuscript investigates wormhole solutions within the framework of
extended symmetric teleparallel gravity, incorporating non-commutative
geometry, and conformal symmetries. To achieve this, we examine the linear
wormhole model with anisotropic fluid under Gaussian and Lorentzian
distributions. The primary objective is to derive wormhole solutions while
considering the influence of the shape function on model parameters under
Gaussian and Lorentzian distributions. The resulting shape function satisfies
all the necessary conditions for a traversable wormhole. Furthermore, we
analyze the characteristics of the energy conditions and provide a detailed
graphical discussion of the matter contents via energy conditions.
Additionally, we explore the effect of anisotropy under Gaussian and Lorentzian
distributions. Finally, we present our conclusions based on the obtained
results.
