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If you are already retired and receiving retired pay, you do not lose your military retired pay because you killed a dog! Don't worry about that! You earned that retired pay.
Military retirees are dropped from retirement rolls only when convicted for national security violations under the Hiss Act (5 U.S. Code, Section 8311-8322.) More routine convictions (even felony convictions) are not cause for loss of retired pay.
All the best and thank you for your service!