Definition from Wiktionary, the free dictionary
personal god (plural personal gods)
- A deity who can be related to or thought of as a person, through an anthropomorphized persona, rather than an impersonal, and faceless, force of nature—an example of a personal god is the Abrahamic God of Judaism, Christianity, and Islam—and a god with whom one cannot have a personal relationship.
- Albert Einstein was not an atheist, but did not believe in a personal god.
See also 
Oxford Dictionary of English