Fur belonging to me brought to monarch (6)
I believe the answer is:
ermine
'fur' is the definition.
(I know that ermine is a type of fur)
'belonging to me brought to monarch' is the wordplay.
'belonging to me' becomes 'mine' (I've seen this before).
'brought to' means one lot of letters go next to another.
'monarch' becomes 'ER' (abbreviation for Elizabeth Regina, British Queen).
'mine' put after 'er' is 'ERMINE'.
(Other definitions for ermine that I've seen before include "Stoat in its winter coat" , "Winter fur of the stoat" , "White fur associated with judges" , "Warm white covering" , "Expensive white fur" .)