Unassuming Burgundy perhaps for the lady? (7)
I believe the answer is:
mildred
'the lady?' is the definition.
(I've seen this before)
'unassuming burgundy perhaps' is the wordplay.
'unassuming' becomes 'mild' (I can't justify this - if you can you should give a lot more credence to this answer).
'burgundy perhaps' becomes 'red' (burgundy is a kind of red).
'mild'+'red'='MILDRED'
'for' acts as a link.
Can you help me to learn more?
(Other definitions for mildred that I've seen before include "Woman" , "lady?" , "Girl" .)