How should Elizabethan theology affect our interpretation of the consultation with the Oracle of Delphos in The Winter`s Tale?

As many revenge dramas, Shakespeare`s A Winter`s Tale is
set in a fictitional universe, oddly blending geographically distant Italy with pagan
Graeco-Roman culture. For a king to consult the oracle of Delphi before taking a major
action would have been normal procedure in 5th or 4th century Athens; the oracle itself
and consultation with pagan oracles would not have been done in Renaissance Europe
(though people might pray to saints or make pilgrimages to holy Christian
sites).

In part, the consultation with the oracle shows the
influence of Seneca, a Roman writer, on the genre of revenge tragedy; such consultations
were common in both Seneca`s plays and the Euripidean tragedies that influenced
them.

Christian tradition does include inescapable
prophecies, by primarily Jewish prophets, e.g. the prophecy of the Magi concerning the
birth of the King of the Jews leads to Herod the Great`s Massacre of the Innocents in
the Gospel of Matthew. Prophecies by Jeremiah etc. are an important part of the
Judaeo-Christian tradition, but the Delphic oracle is a literary device for Shakespeare
(like the mention of Persephone in your other question) invoking pagan literary generic
conventions.