Combined card effect issue
I played the card Tail Swipe that makes two cards fight each other. I chose my card Glissa Sunslayer that has first strike and deathtouch to fight against a card that doesn't have first strike neither double strike, but had a greater power than the toughness of my card. During the animation of the fight, my card don't take any damage, as is expected, but it dies, what's totally unexpected.
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[Deleted User] commented
First strike and double strike only work for combat, because those abilities add a second combat damage step to the combat phase, and dictate which creatures get to deal combat damage in which step. A fight isn't combat, so neither ability works in a fight. The creatures simply deal damage to each other, at the same time, hence while your Glissa died.