British boozer to feel ashamed (5)

I believe the answer is:

blush

I'm a little stuck... Click here to teach me more about this clue!

'feel ashamed' is the definition.
I can't judge whether this defines the answer.

'british boozer' is the wordplay.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'boozer' becomes 'lush' (synonyms).
'b'+'lush'='BLUSH'

'to' is the link.

Can you help me to learn more?

(Other definitions for blush that I've seen before include "Colour" , "Show embarrassment" , "Go red" , "Pinkish type of wine" , "Turn red, in embarrassment or shame" .)

I've seen this clue in The Sun.

Want a hint initially instead of a full solution? Install my app