Turned out that I didn't need a big and impressive fleet to beat the Danish anyway.
My four valour **** grand inquisitors simply prosecuted the entire royal family one by one as heretics, and voila, no more Danish empire, I simply scooped up the rebel areas after that.
I think so far I've had 4 rulers and more than twice that number in heirs burned as heretics. Those grand inquisitors are their wight worth in gold.
In other news, the English treasury just recently went past the 1,000,000 florin mark and I'm now the empire with the biggest yearly income and the biggest army. I also occupy Scandinavia the entire western Europe except for Portugal which the Spanish has just decided to make a new start in and have made my first moves into northern Africa.
It's good to be the king.