直接引语变间接引语she said to me :"I watched a program ."

She told me that she had watched a proglem
或She told me that she watched a proglem（如果纯粹强调动作发生在故过去）

She said to me that she watched a program

要加。把一般过去时变成过去完成时。

不用加
she said to me that she watched aprogram.