Awkward problem, sexy King Edward? (3,6)
I believe the answer is:
hot potato
'awkward problem' is the definition.
'hot potato' can be an answer for 'problem' (hot potato can mean a controversial issue). I am not sure about the 'awkward' bit.
'sexy king edward?' is the wordplay.
'sexy' becomes 'hot' (similar in meaning).
'king edward?' becomes 'potato' (I am not sure about this - if you are sure you should believe this answer much more).
'hot'+'potato'='HOT POTATO'
Can you help me to learn more?
(Other definitions for hot potato that I've seen before include "tricky issue?" , "Tricky problem" , "that's controversial" , "Troublesome situation for spicy spud" , "Problem that's painful to grasp" .)