Out of all the choices, the second choice or B. Sestina seems most accurate.
It would be a sestina poem because both stanzas have six lines, and use six similar words at the end of the lines. (Shade, hills, grass, green, rock, and lady.)
It's definitely not a haiku, because haiku's are very short and consist of three lines. A ballad tells a story in short stanzas, these stanzas are not that short so it would not be a ballad either.