You are not far out at all. I would call the surgeon asap, cause gum doesn't digest as it is. Usually they suggest not chewing gum the first 6 weeks... some say never. Please call now, they may have to go in and get it out...
you will be fine, look for signs of no water or food going down, pain and other different things, don't stress, just drink cold water so the gum isn't sticky! you will be fine!