Yes the British had no replacements for the causalities incurred but at the time of the Bulge the British XXX Corps was out of the line and getting ready for Monty’s next push. XXX Corps consisted of 3 Infantry Division, an Airborne Division, the Guards Armored Division and various other units. XXX Corps was basically an Army!!!
Once the Watch on the Rhine began XXX Corps was moved to a deep reserve position about 40 miles behind the Meuse River. British units also took over the guarding of the Meuse crossings as well.
Regards
alfa6 ;>}