Oxygen doesn't form fluorides by itself. However, the noble gas xenon (Xe) can form a number of compounds with fluorine. Among the given options:
(A) \((XeF_4)\): Xenon tetrafluoride is a known compound and does exist.
B) \((XeF_6)\): Xenon hexafluoride is also a known compound and exists.
C) \((XeF_3)\): Xenon trifluoride is not known to exist. The possible fluorides of xenon are \((XeF_2), (XeF_4), and (XeF_6)\)
D) \((XeF_2)\): Xenon difluoride is a known compound and does exist.
Therefore, the fluoride of xenon that does not exist is: C) \(XeF3\)