Try this
- Identify which commitment is affected by the delay and which can proceed without the traveler.
- Use the current reliable estimate when available and choose a clear fallback for food, pickup or tickets. Avoid promising to make up time you do not control.
A worked example
“If I miss the connection, please keep your dinner plan.”
An invented example to adapt, not a real exchange or a script you have to follow.
Before you leave it here
Send an update when the arrival estimate is meaningful rather than promising an impossible recovery.