It's a very common fear, but remember, if your wrap is tight those fragments of food are likely coming from backup at the wrap site.
I believe your surgeon wants to wait for the swelling to be fully resolved before dilation. Dilation could cause its own problems. If your wrap is properly configured (once the swelling subides completely) then the dilation could make your wrap too loose. You wouldn't want that.
Everyone's recovery is unique. Some have swelling resolve sooner, and some later.
Sorry you have to struggle, but in the end it will be worth it.