At the end of their first meeting Alconous (or Alkinoös) suggests to Odysseus he could stay and marry Nausicaa:
311-315, od 7
αἲ γάρ, Ζεῦ τε πάτερ καὶ Ἀθηναίη καὶ Ἄπολλον,
τοῖος ἐὼν οἷός ἐσσι, τά τε φρονέων ἅ τ᾽ ἐγώ περ,
παῖδά τ᾽ ἐμὴν ἐχέμεν καὶ ἐμὸς γαμβρὸς καλέεσθαι
αὖθι μένων: οἶκον δέ κ᾽ ἐγὼ καὶ κτήματα δοίην,
εἴ κ᾽ ἐθέλων γε μένοις:
Of course we are somewhat prepared for this by Nausicaa’s own musings about a potential marriage. However the offer still seems strange. Firstly, it seems a bit over the top to offer your daughter to a shipwrecked guy that came strolling into your house only a few hours ago and who didn’t even tell his name; but then, maybe the mores in Scheria are different. Secondly, he does not seem to expect an answer, but dives straight into the practical preperations for Odysseus’ nostos.
Should we read it as just a sign how impressed Alcinous is by Odysseus’ god-like appearance?