God changes with every encounter. God is as flexible as our own imaginations and evolves and reshapes Godself as our spiritual needs evolve. God is always changing. Which means that God never changes: God is always fully available and fully God.
Queer God is different from Straight God not as a different entitity, but because we approach these God-images very differently. Queer God is not approached with apologies for our not being Straight. Beyond that, our particular insights into life and the world allow us to ask different things of God, confide different secrets to God's ear, create a relationship with God that conforms to the image of God in which we were created.
When all is said and done (but is "all" ever said and done?), connection to Queer God gives us the ability to converse and be in community with all people. It does not ghettoize us; it frees us to move through the world confident in our blessedness.
Queer Spiritual Counseling
Before his death, Rabbi Zusya said, "In the coming world, they will not ask me: 'Why were you not Moses?' The will ask me: 'Why were you not Zusya?'"
-- from Martin Buber's Tales of the Hasidim