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(BTW, as an aside, I’m not sure where you get the idea that the British were timid about sending in their army to fight in Europe. Seems like they did so quite effectively in the last major European conflict with Napoleon, and they weren’t exactly reluctant in the Crimean War).
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That’s not really true. At the start of the war Britain did not have universal conscription. As a result their standing army was 6 divisions compared with about 70 each for France and Germany. There was a great deal of consternation about leaving the home islands essentially undefended. In addition, Lord Kitchner was one of the few people who thought the war was going to last indefinitely. As a result he wanted to keep the 6 divisions as a nucleus to build a proper army around. The prewar plan called for all 6 divisions to land in France, but only 4 were sent.
Germany really had no need for a navy. Their overseas colonies were of minimal value, and they really didn’t need overseas trade. It would have been a much better plan to court England’s friendship, or at least neutrality in a war. England’s policy was to have a navy bigger than the next two combined. Germany’s increased naval power was a direct threat to them because England, unlike Germany, did depend on overseas trade and their colonies.
Which brings us to the answer to the OP. Germany was making moves that were aggressive towards England. If they had defeated France, they would have crippled her. With no continental power to challenge Germany, she would have concentrated more and more on the navy. Which, given enough time and effort they could have easily outpaced England. Germany had an army of 70 divisions compared to England’s 6. The navy in Germany was more or less an afterthought, and it was still powerful enough to be a threat to England.