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It is very safe at this point to say PSG is now a top contender at every level, I think it is very rare and unusual to have a team win a bigger team with lesser players in the team of which PSG just did, I mean with 9 men, that was not just brilliant, but an extraordinary epic victory. I hope they are able to maintain this for the longest as they are about to enter an erra where they are going to be faced with even more challenges from other teams both in their league and other leagues they will be playing like the champions league. I wish PSG all the best as they are in their prime this period.
You are talking as if PSG played with 9 men for more than half the time. They received the first red card after 82 minutes and the second red card in extra time of the second half. Bayern brutally lost one of their most important players at the end of the first half and the injury was so bad that I am sure this hit mentally. They are all professionals, but when there is a player lying on the ground with the food being position in an unnatural angle to the leg, I think this is something you can't get over with within just a few seconds.
Bayern played well, had chances and was the more dominant team in this game. Their positioning wasn't the best, which I think is the reason they didn't score because they too easily allowed themselves to run into offsides and give those important chances away for free essentially.