When ol' Lizzie died, the Archbishop of Canterbury let us all know that God dropped him a message to say the King Charles should succeed to the throne, which worked out awfully lucky with what was already being planned. The Head of State of the United Kingdom is claiming to derive their authority from God (aka Divine Right of Kings), state and church are officially unified and clerics are a required part of the legislature, does that not make it a Theocracy by any reasonable definition?
No, the role of the First Estate is to affirm God's approval of the divine right of the monarch to rule. The Second Estate still keeps order and bears arms to do just war against the enemies of the realm.
You, in the Third Estate, need to get back to tilling the fields
"And all of that is good and cool and shouldn't be changed." - the Fourth Estate