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This paper examines wormhole geometries in the context of $f(Q,T)$ gravityunder the background of non-commutative distributions. We discuss theanalytical solutions assuming spherical symmetry and the presence of conformalKilling vectors, which provides a systematic approach for seeking exactwormhole solutions. Specifically, the imposition of conformal symmetry placesnoteworthy constraints on the model, shaping the analytical outcomes moreprecisely. We studied the properties of traversable wormholes under bothGaussian and Lorentzian distributions and noticed that NEC and SEC are violatedin the neighborhood of the wormhole throat. We also observed the influence ofmodel parameters as well as non-commutative parameters for these violations.Employing the "volume integral quantifier," it is established that conformallysymmetric wormhole geometries may, in principle, be constructed withinfinitesimally small amounts of matter, violating the averaged null energycondition. Further, equilibrium forces and the complexity factor of thenon-commutative distributed wormholes have also been explored.

Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity