Your immortal lover would be...

Hestia

As a lover of the goddess of the hearth, you long for stability and emotional maturity in your relationships. You like the heat of love, but not in the fiery way of passion, but the warmth of looking at a lifelong friend.

Nico

You are a primordial being, a muse to the greats, and a little insane. You story can be one of great adventure or great tragedy, but it is up to you to decide which one.