Intercession

n.kind, hopefulformal

Meaning 1

An appeal or intervention made on another person's behalf.

Reach for it when naming advocacy that asks a person with power to help or show mercy

Her intercession secured enough time for the family to present the missing records.

everyday
appeal
a direct request asks authority to reconsider or help
not when An appeal may be made for oneself rather than through intercession.
warm
advocacy
organized support seeks fair treatment or change
not when Advocacy is usually sustained and public, unlike one intercession.
professional
intervention
an action changes the course of events
not when Intervention need not involve an appeal or benefit another person.
professional
mediation
neutral assistance helps parties resolve a conflict
not when Mediation seeks balance rather than asking favor for one side.

Prayer offered on behalf of another person or group.

Reach for it when using the established religious sense without generalizing it to all traditions

The service included an intercession for families displaced by the fire.

everyday
prayer
address to a deity is the central act
not when Prayer includes praise and confession, not only petitions for others.
literary
supplication
earnest humble prayer fits an elevated register
not when Supplication emphasizes humility and may sound archaic.

timely intercession
A timely intercession prevented the automatic closure of the case.
intercession on behalf
Her intercession on behalf of the trainees reopened the review.
prayer of intercession
The gathering ended with a prayer of intercession for the injured.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.