The correct answer to this open question is the following.
The action that most closely follows Roosevelts’ belief of “Speak softly and carry a big stick” is the decision in Latin America after the Venezuelan affair of 1902, called the Roosevelt Corollary.
The Big Stick diplomacy was the foreign policy of President Theodore Roosevelt that effectively said: “Speak softly and carry a big stick.” President Roosevelt wanted to be prepared to defend the country and attack in case it was needed, so he built a good navy.
With the Roosevelt Corollary, he wanted to send a clear message to the European nations, that they did not need to intervene in the affairs of Latin American countries.