Hesitant, blushing; made a mistake (5)
I believe the answer is:
erred
'made a mistake' is the definition.
('err' can be a synonym of 'make a mistake')
'hesitant blushing' is the wordplay.
'hesitant' becomes 'er' (I can't explain this - if you can you should believe this answer much more).
'blushing' becomes 'red' (blushing makes someone's face go red).
'er'+'red'='ERRED'
Can you help me to learn more?
(Other definitions for erred that I've seen before include "Made mistake, was incorrect" , "Went wrong" , "Was mistaken" , "Made mistakes" , "Strayed from the straight and narrow" .)