If a cis person meets a trans person and the trans person introduces themselves with a name that doesn’t match what appears to be their gender and they are working (meaning possibly their employer requires them to use birth name or something) what should that cis person do?
A trans person is even more aware of how shitty a situation that is, which means, when they tell you their name, they’re aware of the consequences and are telling you what feels appropriate for them. The best thing you can do is trust them, and follow their lead.