Step 1: Period Trend
Ionization energy generally increases from left to right across a period due to increasing nuclear charge.
Step 2: Exception
Nitrogen ($2p^{3}$) has a half-filled subshell, which is exceptionally stable.
Step 3: Comparison
Because of this stability, it is harder to remove an electron from N than from O ($2p^{4}$).
Step 4: Final Order
The order is $C<O<N<F$.
Final Answer: (d)