  The current study explores the novel potential of traversable wormhole
solutions within the framework of Finsler geometry, incorporating conformal
symmetry alongside traceless fluid dynamics. Using the Conformal Killing vector
approach, we have discussed the wormholes based on traceless fluid within the
intriguing framework of Finsler geometry. The field equations and the
associated conformal factor are obtained specifically under the condition of
conformal motion in Finsler geometry. Furthermore, we have successfully derived
and examined the shape function, considering a range of values for the
Finslerian parameter $\lambda$. Our investigation extends to fundamental
physical characteristics such as proper radial distance, active mass function,
and total gravitational energy, aiming to understand their influence on the
traversability of the wormhole. The observation of energy condition violations
provides evidence for the exotic matter's presence near the throat, reinforcing
the assertion of the Finslerian wormhole's traversability.
