In a tropical environment with a thriving coral reef, these storms are obviously part of the natural process of washing the reef clean of debris. This, unfortunately, causes an altered appearance for visiting divers. many of them who visit in the months after a storm decry the reefs as destroyed and ruined forever. Much to the contrary, it is amazing to witness the rapidity of the re-growth (versus a one week visit snapshot).
If you are talking about the immediate period after a hit by hurricane winds, the water gets churned, temperatures are altered, and the salinity is affected by the rainwater. the shallow water diving (down to 80') will likely be marginal for a few weeks. Larger apex predators will come in at depth (you'll only see them by fortunate accident) to scavenge the animals swept out into the ocean off of land.
Avoiding a post hurricane environment for longer than a month afterwards is kind of silly. It might not be the same florid picture it was previously, but after things settle down a bit, if you're a sharp observer, you'll see creatures taking distinct advantage with their individualized specialties. Most notably the various night dwellers, as well as Crustaceans and Worms.