The Asian, I bet, will be put in the shade (7)
I believe the answer is:
tibetan
'the asian' is the definition.
(Tibet is in Asia)
'i bet will be put in the shade' is the wordplay.
'i bet will' becomes 'ibet' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'be put in' indicates putting letters inside.
'the shade' becomes 'tan' (I have seen 'Shade of brown' mean 'tan' so perhaps 'shade' could also mean 'tan').
'ibet' placed into 'tan' is 'TIBETAN'.
Can you help me to learn more?
(Other definitions for tibetan that I've seen before include "Former nationality of citizen of Lhasa" , "Language giving us yak, sherpa and yeti" , "Asian" , "Nationality of citizen of Lhasa, before Chinese invasion" , "native of Lhasa, say?" .)