I have lost several precious furkids over the years, most to old age and illness. One will never replace another -- they all have their own unique personalities. But I cannot imagine life not shared with animals, so my home is always filled with dogs and cats, young and old, and the sweet memories of those at the bridge.
Something that may help both you and Zeus is for you to talk to Zeus about Zaeda. They are, in a way, "siblings". Zeus probably senses the loss, but has no idea what was lost. Sharing your love for Zaeda with Zeus may also strengthen your bond with Zeus.
Ann