Correct option is D
Option (d) is the correct meaning of the given idiom.
With an iron hand: To rule or control someone or something in a very strict, harsh, or authoritarian manner.
Example: The dictator ruled the country with an iron hand, suppressing any opposition.
Other related idioms and their meanings:
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With a firm hand – In a strict and disciplined manner.
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Hold the reins – To be in control.