If you use a glue trap and feel it is inhumane to let the mouse die slowly, you can kill it quickly and mercifully. Cut off its head. Put it in a plastic bag and drive over it quickly with the car, drop of concrete block on hit, hit it with a hammer, etc. You have more choices than to let it die of starvation. Some people don't like to use snap traps because of children or pets in their household. Glue traps can be released from kids and pets.