We have "best friends" and "close friends", because you give first importance to them. Like that, what should I call an enemy who is first enemy? I.e. you want to hurt him most then the rest of your enemies. What should we call them?
As per Wikipedia, an archenemy, archfoe, archvillain, or nemesis is the principal enemy of someone or something. In vernacular English, archenemy and nemesis are the two from the four above that are actually used commonly.
There's no single English word to describe the single most important enemy in which case you need to combine two words:
- Primary Adversary
- Main Opponent
- Sole Archenemy or Sole Nemesis
Note to the OP: While archenemy has no friendly connotation, nemesis can also be used to refer to friendly rivalry.
You are probably referring to an arch-enemy (archenemy):
- a principal enemy
Examples of arch-enemy:
The two politicians were archenemies.
The country went to war with its archenemy.
I suppose you could use sworn enemy per CALD:
sworn enemy: Sworn enemies are people who will always hate each other.