Chances of a surviving Chinese monarchy

  I don't know about that.  Britain wanted a stable China for trade purposes and also general stability in the region.  However given the demands that would be involved in restoring an unpopular Manchu dynasty to the Chinese throne I suspect even if the revolution overthrowing it had been a decade earlier - when the Conservatives were in government and there could well have been a common concern among the various nations with interest in China. especially with the recent issue of the Boxer Rebellion - would have been difficult and probably a decision made not to support such.

  With the revolution occurring in 1912 by that time the Liberals were in power and overwhelmingly concerned with affairs at home and also in Europe with the growth of the threat from Germany.  There would have been a desire I suspect that a child shouldn't be handed over to the rebels in case he was simply killed but no strong interest in Britain or any other powers - except possibly Russia or Germany for the restoration of the dynasty.

  Good point.  OTL he failed pretty quickly but possibly something could have changed that.  Although the idea of empire was somewhat unpopular after the failure of the Qing dynasty and also with a significant republican movement.  Plus with WWI fully under way western influence was at a low level and Japan was the most influential foreign power and I suspect that they would have preferred a relatively weak republic than an empire.  Hence I suspect it would be a difficult task for Yuan to secure himself as emperor and establish a new dynasty but not impossible.