A trick I use when there is an unsightly gap is to mix some matching color scraped from a pencil or obtained from some other source with some white glue to form a putty that fills the gap. Some light sanding when the glue mixture has dried will help blend the repaired area in with the part.
Something I do when the outer rim stick out too far is to try to trim as close to the body as I can. I have some scalpel blades mounted in a Fiskars knife blade handle that works for delicate cutting like that. I then color the exposed white paper.
Another thing you can do is call it battle damage or a field repair if the operation does not turn out good.