Earlier Friday, a Tacoma judge refused Tina Carlsen's request to block the surgery. Carlsen, 34, of Sumner, spent five days in jail after she took her son, Riley Rogers, out of a Seattle hospital on June 22, prompting a two-day statewide Amber Alert.

She was freed from jail Thursday but still faces trial on a charge of second-degree domestic violence kidnapping. She could face a maximum year in jail if convicted.

The state took custody of the baby on June 9 after Carlsen refused to go along with doctors' advice that Riley needed the surgery.

"Riley Rogers is in satisfactory condition after undergoing surgery today to insert a catheter in preparation for future dialysis treatments," Children's Hospital and Regional Medical Center said Friday evening in a statement. The baby was described as conscious and comfortable, with stable vital signs.

The hospital said the boy's mother would be allowed to join him in the recovery area.

"The catheter is not a treatment; it's the first step in providing dialysis," said Dr. Bruder Stapleton, Children's pediatrician-in-chief.

Tears rolled down Carlsen's cheeks earlier in the day after she heard Pierce County Superior Court Judge John McCarthy say he would allow the surgery.

"Riley is the most awesome kid you've ever seen on the face of this Earth," she said. "He smiles from ear to ear, he will light up a room."

Late Thursday, the state Department of Social and Health Services, which has custody of the baby, agreed to allow Carlsen supervised visits with her son.

"We believe it is important for Riley to have time with his mother and for the mother to have time with her son," DSHS spokeswoman Kathy Spears said.

Earlier this week, McCarthy said he was convinced that the surgery was in Riley's best interest and granted Child Protective Services' request that he authorize the operation.