Date men get infected with virus - that’s bad luck (12)

I believe the answer is:
misadventure
'bad luck' is the definition.
(misadventure is a kind of bad luck)
'date men get infected with virus' is the wordplay.
I cannot quite see how this works, but
'date' could be 'ad' (AD is an example) and 'ad' is found within the answer.
'men' could be 'm' (abbreviation) and 'm' is located in the answer.
This may be the basis of the clue (or it may be nonsense).
'that's' acts as a link.
Can you help me to learn more?
(Other definitions for misadventure that I've seen before include "Accident" , "Mishap" , "disaster" , "Unfortunate incident" , "Bad luck; accidental killing" .)
