First, "Esposo" means "husband" in Spanish. "Edda" refers to the Eddas, which are sources of Old Norse mythology. So the husband of Edda, probably Odin, since he's a main figure. But wait, Odin's associated with the Eddas through his quest for knowledge. He gave up an eye to drink from the Well of Mimir, but is there a more direct connection? The user specified 2 letters, so the answer must be a two-letter name in Spanish that fits.
Alternatively, could it be "Loki"? No, that's three letters. Maybe "Frej", which is Frey in English. Frey is the husband of Njörd? No, Frey's sister is Freyja. Wait, maybe the clue isn't from Norse mythology. Could there be a person named Edda in a different context? For example, Edda is a name in real life, like the Italian writer Edda Mussolini? Then her husband would be... But that's less likely in a crossword unless it's a reference. But two letters... Hmm.
Wait, maybe there's a Spanish slang term or a figure where the husband of Edda is referred to with two letters. Could it be "EL" as in "El esposo" (The husband), but that's two letters. But that's the term for husband, not the name. The question is asking for the name of the husband, so "EL" isn't it. Hmm.