The organism:
- derives energy from chemical reactions (Chemo),
- uses inorganic compounds such as \(Fe^{2+}\) as electron donors (Litho),
- uses \(CO_2\) as the carbon source (Autotroph).
Hence, it is classified as a
\[
\boxed{\text{Chemolithoautotroph}.}
\]
Therefore,
\[
\boxed{(C)}
\]