Welcome!! I know where you're at - I have a unicornuate uterus (just the left side) I also had a hydrosalpinx left tube and my right tube was not attached to the functioning side of my uterus and was mangled so they removed both during my laparoscopy. My doctor told me she is not sure IVF will work the first time around, but is confident that it will work - I am stimming right now for our first cycle - hoping for Feb 1 ET.
Good luck to you and if you have any questions, just ask!