Embarrassed to show hanging (5)
I believe the answer is:
arras
'hanging' is the definition.
(arras is a kind of hanging)
'embarrassed to show' is the wordplay.
'to show' says the answer is hidden in the clue.
'ARRAS' is hidden within 'embarrassed'.
(Other definitions for arras that I've seen before include "Tapestry; French town" , "Wall hanging of heavy woven fabric" , "Tapestry wall hanging" , "Polonius met his end behind one" , "Tapestry; WW One battle" .)