She's a board member. Who had approximately 1/4 of the power to fire Sam, and she did eventually exert it. Why do you rather assume her voice was not heard?
Then it was 1/6 about the voting.
But voting is totally different thing than speaking about concerns and then getting actually them into the list, which will we voted further if they decide to do something about it.
In theory that is 1/6 * 1/6 power if you are alone with it for the decision to happen.
How? Being a board member is not enough. There were aready likely two against her in this case, while the rest is unknown.