The fact that Saul is said to be praying suggests that it is safe for Ananias to go to him. Saul is clearly reflecting on who he saw and what he heard. He knows that he has had an encounter with the resurrected Christ and that his life belongs to Jesus.
11 Et le Seigneur lui dit: Lève-toi, va dans la rue qu'on appelle la droite, et cherche, dans la maison de Judas, un nommé Saul de Tarse.