In ${\mathrm{XeO}}_3{\mathrm{F}}_2$ , d-orbital which is not used in bonding is:

Since, ${\mathrm{XeO}}_3{\mathrm{F}}_2$ the hybridization is ${\mathrm{sp}}^3\mathrm{d}$ the d orbitals are used in π bond formation and $d_{x^2-y^2}$ cannot be used to make a π bond with a p-orbital from the O atom.

Hence, the correct option is A.