The British Army and Navy, in absolute horror at having a commander-in-chief who's female all mutiny and throw themselves onto the side of the manly Kaiser Wilhelm II and Europe has perfect peace and prosperity under the autocratic, but authoritarian leadership of the Hohenzollerns.
Oh, wait. That's right-wing fanboy thinking.
More likely is nothing changes. Victoria was probably better respected (and possibly smarter) than Edward, but Britain's monarch was far more restricted on what she could do than was Wilhelm II.