Sub situation

[cowbyfan1]

I don't have my rule books on me to look this up.

Situation. Shooting foul on the Red. White shooting. White shooter is bleeding from the knee. I send her off. Coach replaced. Then he had a sub at the table. He said he was sending her in for the shooter (the sub that replaced the original shooter). I looked at my partner and asked him if the original sub had to stay in the game for some running clock. He said no. Coach caught on to what I was questioning and he thought I was right and held off on the sub til next dead ball.

Was I right?