At the beginning of your upkeep, Jinxed Idol deals 2 damage to you.
Sacrifice a creature: Target opponent gains control of Jinxed Idol.
The control-change effect has no duration. The targeted player retains control of Jinxed Idol until the game ends, Jinxed Idol leaves the battlefield, or an effect causes someone else to gain control of it (perhaps because Jinxed Idol’s ability is activated again).