Love these POD's, it's surprising how easy it (apparently) is to strangle the Entente Cordiale in the cradle.
Let's roll with Fashoda going, if not hot, than warmer than OTL, and Russia manages to pull off a draw in the Russo-Japanese War. In addition, let's say that when WW1 does kick off, Germany decides that, given Russia's apparent awakening/not getting its ass handed to it, means they need to go East first and fight France defensively. The UK sits on the sidelines, until France does what Germany did OTL and decides to go through Belgium to get to Germany. How does the rest of the war kick off?
Part of it depends on when exactly this happens, I would assume. If it's 1910, then the Central Powers might still look quite scary; in 1920 Britain is going to be throwing fits over the Franco-Russian alliance.
If France is violating Belgium's neutrality and Russia is being more threatening in Asia, but Germany looks poised to dominated to Europe, you might get continued neutrality with preferential trading to whoever Britain hates less.
If the Franco-Russian alliance looks poised to dominate Europe and Russia is being more threatening in Asia and there's greater colonial hostility between France and Britain, you might get the British diving in fully to support the Germans. At minimum you'll get British finance funding the Central Powers and whatever support they can get away with while not entering the war. A declaration that the Mediterranean is under British protection and none can impact the trade there, which just so happens to keep German trade from being interdicted. No French/German ships in the Channel either.
I'm also curious as to what the naval balance of forces between Germany and France are, since that could depend on the particulars that haven't quite been nailed down. France could have invested in a stronger navy if there's greater colonial competition with Britain, and what happened with the German naval program is completely up in the air. If France is capable of stepping up any kind of blockade on Germany, I imagine Britain would force a climbdown there much to French ire (for the second scenario).