Police in Idaho were searching Monday for a gunman who shot and wounded a pastor outside his church Sunday afternoon, one day after he led a prayer at a rally for Republican presidential candidate Ted Cruz.

Tim Remington was found with multiple gunshot wounds outside the Altar Church in Coeur d'Alene at around 2 p.m. local time Sunday. Remington's nephew Matthew and other church members told KREM that Remington was shot four times in the back as he walked to his car.

KREM reported that Remington was expected to make a full recovery.

On Saturday, Remington led a prayer at a rally for the Texas senator at a local fairgrounds. Idaho holds its Republican presidential primary Tuesday.

"Our prayers are with Pastor Tim, his family, and the doctors who are supervising his care," Cruz campaign spokeswoman Catherine Frazier told NBC News. "We pray for his full recovery and are thankful for the efforts of law enforcement to ensure the attacker is swiftly brought to justice."

Late Sunday, police identified the shooting suspect as 30-year-old Kyle Odom. KHQ, citing witnesses, reported that Odom attended Sunday services at the church, then waited in a car for Remington to leave the building before opening fire.

Authorities said Odom was last seen leaving the parking lot in a silver 2004 Honda Accord. He is described as having blond hair, blue eyes, standing approximately 6 feet tall and weighing about 170 pounds.

The motive for the shooting was still under investigation late Sunday. KHQ reported that Odom and Remington may have known each other.

KREM reported that members of the church gathered at the scene late in the afternoon to pray for Remington and his assailant.

"We just want to be here for everyone in our congregation. Be here for our pastor," one church member told KREM. "He opens his home to people. He takes them in and lets them live in his home. All the people society has turned their backs on, he reaches out to them."