To dream of an exterminator represents you or someone else that is fed up with an annoyance. You’ve put up with a person or situation that has been annoying you for long enough. Feeling that a problem has finally go too far.
An exterminator reflects an option or opportunity to totally clear out a problem.
Negatively, an exterminator reflects feelings that a problem is getting out of hand or that you must do something as a last resort.