Imagine if Karl Parsons of Germany had invented the steam turbine instead of Charles Parsons of Britain. Karl builds a sleek new ship, Turbinia, which excites the German navy. Here in the UK let's imagine that instead of being creatively mad Jackie Fisher is instead an unimaginative old duffer. He pooh-poohs turbines and when finally pushed to come up with a spectacular new battleship he champions HMS Leviathan, a wasteful disaster of a ship that has big guns but poor speed and no seahandling. No-one cares because Britain is and always will rule the waves.
Meanwhile the Germans launch a successful all-big-gun, turbine-powered battleship in 1906. The German Navy tells the Kaiser that each of their new Nichtsfürchten-class battleships can take on two British battleships and win - and fight three to a stalemate. They're probably wrong, but groupthink takes over. At the very least the new ship can wipe out any British vessel smaller than a battleship before it can enter firing range, and can overhaul Britain's battleship force.
The German Navy also tells the Kaiser that Britain is desperately trying to regain lost ground, but for a short window of just a few years the German navy can dominate the North Sea. Not the entire world, only the North Sea, but that's enough. I imagine that would speed up the outbreak of the Great War.