The most common and most likely answer to this crossword clue is the 3 plus 6 letter word COR BLIMEY
I've seen this crossword clue in The Guardian
C
O
R
B
L
I
M
E
Y
More clues leading to the result COR BLIMEY
- Gracious king breaks bread with Brit abroad
- Labour leader almost a Green inside? Well, I’ll be blowed!
- My whitewash is embraced by Labour leader losing election in the end
- I’m surprised to see Green in old steel town
- Good grief – a green going into Northamptonshire town
- Gracious king breaking bread with Brit abroad
Buddy explains!

The straight part
We know that "My" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case my = cor blimey.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.