Last Thursday's stormy meeting saw all five directors win re-election, while challengers Paul Murray, Malcolm Murray, Alex Wilson and Scott Murdoch failed in their attempts to join the Ibrox boardroom.
McCoist admits the power struggle between the board and requisitioners had left him in a "no-win" situation, prompting him to hand his own vote to the Calderwood Rangers Supporters Club in his hometown of East Kilbride.
The manager - who was not told about plans to announce cost-cutting measures at the meeting - informed chief executive Graham Wallace of his decision beforehand.
He said: "I just felt at that time that I was in a little bit of a no-win situation. I was sort of compromised.
"So, rightly or wrongly - and I've been criticised for it in a lot of quarters, which I can understand - I was very happy and safe in the knowledge that the people I gave the proxy to would 100 per cent vote in a way they thought was best for our football club.
"I didn't know how they were going to vote and I still don't know how they voted. But I'm happy with the fact that I gave it to people who really care about our club. That was my reason for doing it."
Asked if he was confident he had not jeopardised his relationship with any board members as a result, McCoist said: "I can't answer that. All I can tell you is that I still feel to this day that I made the right decision."
He added: "I let Graham know this was going to be the case. I explained that I was giving it to people who care more about our football club than anybody I know.
"I was happy that they would make a decision that they felt was right and I could live with that. Graham understood that view."
Wallace told shareholders that operating costs at the Scottish League One club were too - greater than they should be even if they were in the top flight - and called for a scaling back.
McCoist insists he was not made aware of plans to announce the need for cuts by the CEO prior to the meeting.
He said: "Graham made the statement and it was news to me, as it was to a lot of the people listening to it.
"That said, we haven't been informed where, and if and when, these cuts will take place. It would be wrong of me to comment until they happen.
"It doesn't necessarily give me concern because I haven't sat down with Graham and discussed it fully.
"We've had a couple of brief chats post-AGM and our assessment - and certainly my assessment of the whole situation - is that Graham is going to take an overall view of the finances of the entire club, which is the right thing to do.
"Then he and I will sit down and look at the football side of the club. That will determine what happens in the coming months.
"I'm the same as every manager, I would rather have players in than players leaving. That's no surprise."
Rangers host Stranraer on Boxing Day, aiming to strengthen their position at the top of the league, and McCoist is relieved to focus on football matters again.
He said: "I am actually pleased that the AGM is out of the way and that we can now totally focus on the football side of things.
"It was the first AGM in about two-and-a-half years and my first one as manager. It was very interesting but the most important thing, from my point of view, is that we can now focus on the football."