The poem is beautiful in that it articulates the main concept of male obsession with the unattainable female, who, being independent of him, and not interested, creates an emotion disturbance and pain for the out-of-luck male. Probably something along the lines of the narrator from Araby, or Heathcliff, or any other number of characters, though the one that best comes to mind is Lensky from Onegin.
The idealized male obsession with the woman is ultimately coupled by the emotional pain of rejection, knowing that she doesn't necessarily feel the same way. The poem feels quite Petrarchan to me, except the cat is a more interesting symbol than the conventional conceits of war and hunting we get in Renaissance writers.
The distance the poet makes, in drawing a portrait rather than articulating an emotion shows a new twist to the world, where the hyper-sensualized landscape of 19th century France seems to carry a beyond-real elliptical reality with it, rather than a conceited convention of dialogue heavy poetry.