The genre of "The Storm" is easy to figure out simply based on its form. Coming in at fewer than 2,000 words, it's easily categorized as a short story in terms of length. From a content standpoint, it fits nicely into the "short story" category as well, since it covers a brief moment in time, a limited number of characters, and describes both a conflict and a resolution within that same short word count.
In other words, the form and content match. You could think of it as similar to a sonnet; the short story form presents certain confines that the story being told has to fit into.
We could also be grander, though, and describe the story more broadly as "literary fiction," since it is, after all, a recognizable piece of literature by a canonical author.