Anointer Priest

If Anointer Priest is a token, most likely because it's embalmed, it will cause its own ability to trigger when it enters the battlefield.

The token is a Zombie in addition to its other types and is white instead of its other colors. It has no mana cost, and thus its mana value is 0. These are copiable values of the token that other effects may copy.

The token copies exactly what was printed on the original card and nothing else. It doesn't copy any information about the object the card was before it was put into your graveyard.

For each card with embalm, a corresponding game play supplement token can be found in some Amonkhet booster packs. These supplements are not required to play with cards with embalm; you can use the same items to represent an embalmed token as you would any other token.

If the card copied by the token had any "when [this permanent] enters the battlefield" abilities, then the token also has those abilities and will trigger them when it's created. Similarly, any "as [this permanent] enters the battlefield" or "[this permanent] enters the battlefield with" abilities that the token has copied will also work.