Ironically that is one of the first times I've seen lose/loose stand true for either interpretation.
She didn't lose her royal power when handing over those landholdings, nor did she loose it (militarily) to prevent those reductions in the first place.
In essence Westminster Parliament lost its power, but the Royal Family remained unaffected in many cases.
There was little for the Royal Family to adjust to.
They were the sovereigns of those nations, if independent from the UK. They still "appoint" the PMs of those countries and have a fair amount of political influence via governors.
She didn't lose her royal power when handing over those landholdings, nor did she loose it (militarily) to prevent those reductions in the first place.
Seems like she handled it well.