Is Denmark a secular society?

Argued with someone who claimed Denmark was not secular, as the state church had not been seperated from the state.

This person has not travelled to Denmark, and seem to know little of it. He is none the kess adamant that this leaves the church as a player in the Danish state…and I believe him to be wrong.

Can you help me explain how this works out in Denmark? Or is the state not secular in your opinion?