Write from facts rather than momentum
Pause long enough to remove accusations, assumptions, and details that belong to someone else. For a message about how to ask a contact to make an introduction, use this factual base: state the item, task, route, date, duration, responsibility, and any expense or risk involved.
Offer a proportionate next step
Match the size of the request to the relationship and to what the recipient can reasonably decide now. Make a direct request, offer the information needed to decide, and confirm the return or completion plan. Make the immediate next step clear enough that the recipient can answer without reconstructing the entire history.
Protect privacy on both sides
Do not call the favor small when it costs time, money, access, or professional reputation. Do not ask someone to break a rule, share credentials, sign falsely, transport unsafe items, or assume legal responsibility unknowingly. Use the most private legitimate channel available and do not share the exchange to recruit support or pressure.