Which of these is someone who is rejected as from home or society?

An outcast is someone who is rejected or 'cast out', as from home or society, or in some way excluded, looked down upon, or ignored. In common English speech an outcast may be anyone who does not fit in with normal society, which can contribute to a sense of isolation.

In Ancient Greece, the Athenians had a procedure known as "ostracism" in which all citizens could write a person's name on a shard of broken pottery (called ostraka) and place it in a large container in a public place. If an individual's name was written a sufficient number of times, they were "ostracized"—banished from the city for ten years. This was normally practiced against individuals who had behaved in some way that offended the community.