Try this
- Name the detail you do not want included and suggest a plain introduction that works.
- If the detail has already been shared, ask for future introductions to change without requiring a public retelling of why it is private.
A worked example
“Please introduce me by name, without mentioning the situation at work.”
An invented example to adapt, not a real exchange or a script you have to follow.
Before you leave it here
A detail known privately is not automatically appropriate for a social introduction.