Odysseus. Athena is scolding Odysseus for questioning whether the avengers can be put off. Odysseus is scolding Telemachus for questioning Athena's help. Odysseus is justifying his purifying the house with smoke.
The words in the brackets are telling the actors what to physically do, meaning it would be a stage direction.
It isn't dialogue because that is a conversation between two people.
It isn't dialect because that is how a person speaks. There is no speaking in the brackets.
It isn't narration because it isn't spoken allowed for the audience.
It isn't a description because that is too broad a term more often used for emotions.
Slogans Protesting secret black meeting. (read it in a book)