Her personal motto - which can be seen on top of the gate to the court yard of Frederiksborg Castle - was: "Rege me Jehova spirito sanctu tuo" ("Guide me, Jehovah, with your holy spirit.")
Anne Catherine became Queen of Denmark on 27 November 1597 when she was married to Christian IV. The wedding took place in the castle of Haderslevhus in South Jutland the year after the coronation of Christian IV. She was crowned queen in 1598. She was given Beate Huitfeldt as the head of her ladies-in-waiting. She had six children, among them Christian, the Prince-Elect, who died a year before his father, and Frederik III who introduced absolute monarchy in Denmark. Her son, Ulrik, was murdered in 1633. Their two daughters, Sophia and Elisabeth, and the elder son, Frederick, died at a very young age.
Queen Anne Catherine does not seem to have had much political influence. She often accompanied King Christian on his travels. In her time, she was praised for her modesty and deep religious feelings. There is no mention as to whether the marriage was happy or not, but her spouse took mistresses at the end of their marriage, notably with Kirsten Madsdatter. The building of the Rosenborg Castle began while she was queen, but the extent of her influence on the building and its interior is not known. Despite her good relationship with the Lutheran bishop, she called upon a Calvinist vicar to give her the last sacrament on her death bed.
