Step 1: Use the steric number.
Lone pairs on xenon equal the steric number minus the number of bonded atoms.
Step 2: Check each molecule.
XeF$_2$ has three lone pairs, XeF$_4$ has two, XeO$_3$F$_2$ has none. XeO$_2$F$_2$ has two Xe to O and two Xe to F bonds with one lone pair.
Step 3: Pick the one with a single lone pair.
Only XeO$_2$F$_2$ has exactly one lone pair, giving a see-saw shape.
Step 4: Answer.
\[ \boxed{\text{XeO}_2\text{F}_2} \]