Supporting country? It's a man thing (8)

I believe the answer is:

prostate

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

'a man thing' is the definition.
Although both the answer and definition are singular nouns, I can't see how one could define the other.

'supporting country?' is the wordplay.
'supporting' becomes 'pro' (being pro something is supporting it).
'country?' becomes 'state' (synonyms).
'pro'+'state'='PROSTATE'

'it's' acts as a link.

Can you help me to learn more?

(Another definition for prostate that I've seen is " A protest about a troublesome male gland".)

I've seen this clue in The Irish Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.