United won 2-1 on Saturday with Chelsea keeper Robert Sanchez and home team midfielder Casemiro seeing red before halftime.
Bayindir later told manutd.com: "(In the) first 45 minutes, I can say more.
"For me it was more difficult because when you don't have any position, you are getting cold, in this weather.
"It's raining and you have to keep your mind focused for every second because in the game, anything can happen. I (am happy) did this and we are happy because we won.
The Turkey international continued: "We are working every day for every position, but sometimes you can be unlucky in the game.
"Sometimes, players (are) doing blocks and it's a foul. It doesn't matter how strong you are, you cannot go to the ball. If someone will be here, you cannot move, it's difficult and in all of the (Premier) League, referees are not saying it is a foul for the disposition, so we have to improve ourselves for everything, for every situation.
"That's what we are doing every day in the training and today was good. In the second half, after the punch, we are feeling happy, more confident.
"Before the game we spoke and (we knew) it was a very important game for us. We had to win and everyone was emotional.
"Like everyone saw on the pitch, everyone (was) fired (up) and running. We have to keep this energy for every game and we have to win more games because we have to make our fans and everyone happy.
"When you are winning, everyone is happy and when you are going home, you can sleep very easily. You don't have to think about anything because you already know everyone is happy.
"Today it was a big game, an important game. But we are Manchester United. We are a big club in the world and we have to always feel this fire. We already know our responsibility, but in every game, we have to keep this energy and I hope we can win more games and we can make everyone happy."