Praying for the sick makes many believers uneasy, usually for a good reason. They have prayed and watched someone not recover. So it is worth being careful and plain here about what the Bible actually instructs.
James tells the sick person to call for the elders and be prayed over in the name of the Lord. Pray specifically, and never make a suffering person responsible for the outcome.
James 5:14 says if any is sick among you, let him call for the elders of the church, and let them pray over him, anointing him with oil in the name of the Lord.
What Stands Out
It is normal. It is written as ordinary church practice, not a special event requiring a specialist.
It is initiated by the sick person. Let him call. That preserves dignity. Nobody is ambushed.
It is done by the church, in the plural. Elders. This was never meant to rest on one gifted individual.
And it is done in the name of the Lord. The authority is not in the oil, the volume, or the phrasing. It is in the person being appealed to.
What Scripture does not do is give us a formula that obligates a specific outcome. Paul prayed three times about his own affliction and was told grace was sufficient instead. Timothy had recurring stomach trouble. These are apostolic era believers, and their experience is in the same Bible.
So we hold two things at once, and honest faith has always held both. We pray specifically and expectantly, because we were told to and because God heals. And we refuse to make a suffering person responsible for their own outcome, because Scripture never does that.
Pray for the sick. Keep praying. Leave the results with God, where they were always kept.