I said Allies - not British. As in, the Americans, and the French. Since the French haven't been hit by TTL Michel, they're going to be more intact - and guess where all those supplies at the ports are going to go?
Well, the Americans just weren't ready. They wouldn't be able to go on the offensive for months, just from logistical and organizational reasons alone, let alone training.
The French, if they see the British in dire straits,
will hit back at Amiens as quickly as possible. By which I mean within a very few days after Amiens falls, while the situation still seems fairly fluid.
But it won't be a steamroller offensive, no matter what.
Those took weeks to prepare. It'll be an army drawn from the Reserve, rushed in with no heavy artillery or tanks. In fact, they'll be lucky to have all their
divisional artillery, since every hour of waiting gives the Germans time to dig in and organize, bring up ammo and reserves, and open supply routes.
(incidentally, Barrie Pitt says that the French were able to get only two divisions up per day up to bolster Gough's flank, and those without heavy guns)
If the quick counter-thrust nonetheless works (and I
would expect it to have a chance), then the Entente still has a mess on their hands, but at least they're back in business.
If it doesn't, then the French have to start thinking. The BEF presumably is evacuating, presumably to return somewhere else in a few months. In the meantime, the French might want to conserve their troops. The Germans might have more offensives up their sleeve, and the French will essentially have to face them alone. They'll also have to extend their front to cover the Somme. The Americans can help by taking a few stretches of the line, but they're green, green, green, and have few divs ready for even defensive commitment.
I don't think the French will be in any shape to launch any big offensives, and would be fools to try.
And of course, they'll be experiencing a
huge crisis in confidence. Will they sue for peace? It's possible.
[The above is my best guess. People who know more can probably poke it full of holes.]