When I had my tubal, my ob doc said it would be an immaculate conception if I got pregnant after the job she did on my tubes. She cauterized them after they were cut so they wouldn't grow back together. I did not ask her to do this, and did not know that's how she performed the operation until it was over. Three years later, I had to have a hysterectomy.
I missed my uterus for a long time afterwards. I still had my monthly PMS without the period that followed, but no other differences were noticable.
Good luck with baby #4 in January. If you need a baby name, Renee is still popular.