Skinner’s counter to the idea his side may have been better advised to drop slightly deeper to prevent Harder making those runs was sound.
“There are two mistakes in there from us,” he said.
“If you get pressure on the ball, you can’t play the long ball. They tried it a few times and played the ball out of play.
“It worked for them tonight but if I stop those two chances, they don’t score.”
It sounds simple. But execution is key at the highest level. If you don’t do that properly, you will get punished.
There are a number of minor details to explain why United came out on the wrong side of a tight result.
One of them is unquestionably squad depth.
Take the case of Japan midfielder Hinata Miyazawa, who played in the final of the Asian Cup in Sydney on Sunday, then travelled back to start for United.
By contrast, Tanikawa, who did not get on the pitch against Australia, started on the bench for Bayern, who were mindful of the effects of jetlag and wanted the midfielder to make an impact, which she did, by setting up Harder, then scoring the winner.
Skinner simply does not have enough players to rotate like that.
It makes the next few days, which feature another Old Trafford outing against Women’s Super League leaders Manchester City on Saturday before the trip to Germany for the second leg with Bayern next Wednesday (17:45 BST), particularly tough.
“We’ve played the most football in Europe this year, and we’ve got a really small squad right now, so it will challenge us,” said Skinner.
“It will take us to the depths. But the carrot is there for us.
“We expect it to be difficult. You can kind of trench your mind into what you must do.
“That’s why my players are at Manchester United. If they didn’t want to do it, they wouldn’t be at this club. They’re going to give it absolutely everything.”