Cause to feel self-conscious (9)
I believe the answer is:
embarrass
'cause to feel self-conscious' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for embarrass that I've seen before include "Shame" , "Discomfit" , "Cause (someone) to feel awkward" , "Show up" , "Make red-faced" .)