What atomic or hybrid orbital on xe makes up the sigma bond between xe and f in xenon tetrafluoride, xef4?

Xe has 8 electrons in its valence shell.

Electronic configuration of xenon is 1s² 2p⁶

In bonding of XeF₄:

Atomic orbitals that are involved are shown in the attached image:

As the image shows the orbitals that are involved are s, p and d orbitals and the hybridization will be sp³d². As xenon has 8 valence electrons that on excited state shifts to d orbital and make bond with fluorine atom 4 fluorine atom are bonded to xenon by direct sigma bind using 4 xenon electrons rest 4 electrons serves as two lone pairs.