Personally, I think that you played the KK correctly
Personally, I think that you played the KK correctly, and you just did not get lucky. In the pre-flop situation, you had a win probability of about 80%. When the flop was opened and player 9 made all-in, I would have thought if he had you on his hands or J with a good kicker or set from the flop or at the very least a flush draw. But the fact that he had on his hands T 9 also offsuited, here it was very hard to understand. Anyway, even in spite of this failure, if you always play KK in this way, you will win 80% of the hands. I'm just like you are playing AA and KK and I'm very pleased with the result, although there are also failures.