Katniss killed President Alma Coin instead of President Coriolanus Snow because she recognized that Coin was poised to become another tyrannical ruler like Snow, perpetuating the same cycles of violence and oppression. Katniss discovered that Coin had orchestrated a bombing attack that killed her sister Prim, revealing Coin's ruthless and dangerous nature. Coin was planning to continue the Hunger Games with the children of Capitol allies, which Katniss could not accept. By killing Coin, Katniss ensured that the tyranny in Panem would truly end rather than continue under a new leader who falsely promised change and hope. This act was a decisive rejection of perpetuating the same system of cruelty and power abuse that had ruled Panem before.
Katniss's killing of Coin was a crucial moment symbolizing the end of oppressive leadership and the possibility of a more just future for Panem. It also served as retaliation for Coin's role in the death of Katniss's sister and her manipulative use of power.