Mark Andrews and Conifold are on the right path.
Generally, such a circumstance is called an appeal to force. If you read the WP article carefully, you'll see they cite in support the Stanford Encyclopedia of Philosophy's article Fallacy. From that article:
- The ad baculum fallacy is one of the most controversial because it is hard to see that it is a fallacy or even that it involves bad reasoning. Ad baculum means “appeal to the stick” and is generally taken to involve a threat of injury of harm to the person addressed.
Why such a fallacy might be controversial is because there are two different concepts of what an argument is. On the one hand, an argument might be taken to be two explicit propositions that serve as premises reaching a conclusion through a combination of relevance, inference, etc. But there's a looser definition of argument that involves intended to persuade someone as to a conclusion by more implicit reasoning. If I point to a book, and you point to a gun, and we both understand that these are both symbolic, rhetorical acts, then abstractly, it might be seen as a language-game. Such symbolic acts are sometimes referred to as symbolic speech.
In philosophy of language, such a symbolic gesture which attempts to intimidate or scare an opponent (perhaps into altering their testimony in a court of law) is called a perlocutionary act. From WP:
A perlocutionary act (or perlocutionary effect) is the effect of an utterance on an interlocutor.1 Examples of perlocutionary acts include persuading, convincing, scaring (emphasis mine), enlightening, inspiring, or otherwise affecting the interlocutor. The perlocutionary effect of an utterance is contrasted with the locutionary act, which is the act of producing the utterance, and with the illocutionary force, which does not depend on the utterance's effect on the interlocutor.2
Of course, many thinkers simply resist simple symbolic gestures as argumentative. It is a fact that Aristotle's syllogism is seen as the prototype of what an argument is. The subject in linguistics that studies where meaning can be transferred without explicit language use is called pragmatics. For some thinkers, the ambiguous nature of a pragmatic communications is troubling.
Of course, if an interlocutor explicitly threatens someone in an argument, as some former world leaders are known to do, then it's quite clearly a fallacy of irrelevancy. In such a case, the appeal to force is quite obvious. It's important to remember that rhetorical acts need not be logical in nature.