Peter could not focus on his driving

[Bassim]

I am wondering if my sentences are grammatically correct.

Peter could not focus on his driving while listening to his wife's grumbling. He thought that if the traffic accident didn't kill him, her nagging certainly would.

 

[GoesStation]

Have you already mentioned an accident? If not, you've used the wrong article.

 

[Bassim]

I haven't mentioned an accident before, so my sentence should be:

He thought that if a traffic accident didn't kill him, her nagging certainly would.