This me or my or I which Krishna is speaking of, is not God outside of yourself. It refers to the atma , your divine self. Do everything you do for the sake of God alone, who is none other than your highest self. Devotion is the expression of love, and the emotion which is called love emanates from God, your highest self. Love comes from God and is directed towards God.
Love has nothing at all to do with worldly feelings and secular things.
Love, which is just another word for devotion, is the very name of your highest self. This principle of love emanating from the core of your heart must saturate every action, word and thought. This will happen when you think that everything you do, say or think is for the satisfaction of God alone.