From what I knw neither the British or Phill goverments require a woman to take a mans name when married its just tradtion.
The UK for sure does not expect it as it would be ilegal (sexual discrimatation)
use your own name and just say your married. Write a little note.
The British goverment could not discrimate agaisnt you on this point and nor would i think they want to .
Good Luck
