I don't like the idea of seperation.
Now this opinion doesn't apply to your scenario.

You can't have a marriage without sex.
It HAS to happen, it's part of being bonded with a woman forever.

Yet... you can't have a marriage based ON sex.

There has to be some common ground, somewhere.

And I hope to God, right now, that you would find it.

Blessings,
Youth??