Ditto the kind of people who let garbage pile up undisposed of (and don't or can't call an exterminator).
An exterminator, Dill took a job in Iraq for a company contracted to do pest control on military bases.
And a rubbing alcohol/lavender oil mix works only as a short-term defense to buy time until the exterminator comes.
c.1400, "an angel who expells (people from a country)," from Late Latin exterminator, from Latin exterminatus, past participle stem of exterminare (see exterminate). As a substance for ridding a place of rats, etc., by 1848. As a person whose job it is to do this, by 1938.