I broke my coccyx years ago - well it was assumed I had. They don't xray and there is nothing they can do even if you have. It's just time.
I remember the pain and you have my sympathies. The pain will gradually become less over time. I remember a rubber ring and cushions being my good friends for a good while.
Even now, some 20 odd years on it sill hurts if I sit for too long, or sit on hard surfaces.