The correct answer is exiled. The phrase "to send out of native country" describes the act of forcing someone to leave their home country, typically as a punishment or for political reasons. Exiled perfectly captures this meaning.
Let's look at why the other options are incorrect:
Exonerated means to be officially cleared of a suspicion or wrongdoing. Expurgated means to remove objectionable material from a book or account. Extradited means to hand over a person accused or convicted of a crime to the jurisdiction of another country or state. While it involves sending someone to another country, it's specific to legal processes. Exterminated means to destroy or kill something or someone completely. This suggests a destructive act rather than a forced departure.