Based on the OP I very much doubt he has such a record.
The hitman sounds a bit useless to be honest, so I can’t imagine he would be one bit concerned with any ethical question of completing the contract for a dead woman.
What if it’s a local mortuary that is happy to cremate for you? In fact, the mortuary is one of a modest chain, owned by HitMan through an ingenious series of shell companies. The chain is a profitable investment that generates income and allows HitMan to launder the huge fees he takes in.
Hypothetically.
Well in my experience as a hitman the ICA frowns on unnecessary kills and would certainly take issue with unkilled targets.