All-Australian defender Stewart was outstanding in the Cats' gritty 15-point win over Melbourne on Thursday night, which reignited the reigning premiers' flag defence.
But he faces a $1500 fine for "unreasonable or unnecessary contact with an injured player" over the first-quarter incident involving Viney.
Stewart can accept a $1000 penalty with an early guilty plea.
Viney hurt his right shoulder while tackling Stewart and grabbed at the area before he was pushed to the ground by Stewart.
The tough on-baller left the field for medical assessment but returned to the action minutes later, attending the next centre bounce.
The AFL match review officer found Melbourne forward Bayley Fritsch had no case to answer over his sling tackle on Geelong's Jake Kolodjashnij.
Fritsch was penalised with a free kick in the fourth-quarter incident, in which Kolodjashnij appeared to hit his head on the ground.
But he was not seriously hurt and got up to take his free kick immediately, playing out the rest of the game.
"I was fine. I probably felt that double-action in the sling but the incident was fine," Kolodjashnij told AAP post-match.
"They're pretty hot on that at the moment - protecting the head - so it is what it is.
"I was just full of adrenaline and ready to move on to the next contest. I was over it straight away."
The league's crackdown on dangerous tackles has led to 23 players being suspended so far this season.
"They're really trying to do the right thing with all the noise that's going on with concussion stuff at the moment," Kolodjashnij said.
"It's hard to adjudicate. I feel sorry for the umpires, to be honest.
"It's a tough one to pay in the heat of the moment but the AFL is definitely heading in the right direction with looking after the head and looking after the players."
