Congrats on the anniversary. Although I've never cruised where a hurricane was
near, the ships stay away from all bad weather. The worst that may happen is a missed or late port, or possible a port change. If you're planning on cruising in the Caribbean, its really very smooth, you should't get sick and with the ships today with stableizers, etc. you hardly feel any movement at all. If you think you may have a problem there are things you can take, bonnine, just bought over the counter. I alway cruise with some, but so far (knock on wood), have never needed it. I know the first time I don't take it, I'll need it.
Actually cruising while celebrating an anniversary is just so special, bet you will love it. Go for it and have a great time!