Yes, but in the opposite way, I think it made me want to have more. My older DD is adopted and my DS was conceived and carried by me. I had a very miserable pregnancy and the whole way through I told everyone who would listen that this would be my first and last pregnancy. Although we definitely wanted more, we were ready to do it through adoption only.
I was totally ready to rock the birth and be done with the pregnancy. I did not go into labor on my own, my MW had to artificially rupture my membranes in order to start active labor and while I did fully dialate and push, he did not descend because of a poor position. While I was still sitting in recovery following the resulting c-section, I needed to do it again. For a while I joked with people that I was going to get pregnant again just so I could do the birth part "the right way", and at that point that was probably a large part of my thought process. But we're really ready for more children now and so that's the direction we're heading. I do hope that my next birth is healing, however it happens, whether it's the HBAC I'm hoping for or the CBAC which I realize is not the worst thing in the world, although not ideal.
Have you talked with a therapist about your experiences? My son is just a few weeks younger than your daughter, born 03/30/09, and I made a lot of progess in a short time talking to a therapist who was knowledgable in birth trauma and postpartum mood disorders. I found talking to other professionals who weren't familiar with these topics to be pretty useless as they were unable to understand why I was so upset.
It may be that you're forced to deal with these issues if you have an unplanned pregnancy, I don't know if that's possible for you or not as I see you conceived via IVF, but there are women who have infertility issues that go on to conceive second (and subsequent) naturally and quite by accident. There are women who experience birth trauma and alter their family planning accordingly. I can't say I blame them. But for me, I know that a subseqent birth is very unlikely to be as bad as the last one if for no other reason than because we're going into it knowledge and our eyes open.