Discussion on answer by Kilisi: Started new job, being asked to change my last name (in HR system) because timesheet system is faulty

Under no circumstances should anyone reward people who make poor design choices by mangling data in other systems that handle that data perfectly well. The correct solution is to sever the dependency, not propagate a stupid design choice across the entire company. The exact email address doesn't matter; the name displayed to other people in the corporate directory does.

It's not just a question of offense. If the company systems are issuing documents, say for tax reporting, in the wrong name, that could cause additional problems for the OP.

"I actually think it's more likely that it's not an apostrophe at all" – It seems disrespectful to tell someone that you think they're mistaken about the characters in their own name.