You would be at a table by yourself. I have heard of those cruising alone making friends on their meet thread or FB page with someone who is also cruising alone and going to Palo together. (If you don't like the idea of eating alone.)
GET UP TO A $1000 SHIPBOARD CREDIT AND AN EXCLUSIVE GIFT!
If you make your Disney Cruise Line reservation with Dreams Unlimited Travel you’ll receive these incredible shipboard credits to spend on your cruise!