Piglet, you poor thing! You have been through a horrible experience and it will take time to come to terms with it.
I had a similar experience, but nothing like as bad as yours as my c section wasn't under GA, just epidural so at least I was awake during it. Also the induction "worked" in the sense that I did go into labour, but I'm not sure if this makes it better or worse. I was in incredible pain for 23 hours of 2 minutes apart contractions, no pain relief at all for the first 16 hours, so was exhausted by the time of the c section. Still, at least I have experienced labour and know what it feels like.
Also, I agree with Eliboo that knowing there was a definite reason for the induction/c section helps you come to terms with it. It sounds as though you don't know the reason why your induction turned into a c section. In my case the reason was undiagnosed fibroids blocking the baby's exit.
I have still had flashbacks every day for the last 18 months, reliving every moment. I haven't had counselling as I honestly don't think it would make any difference. However, the trauma does diminish with time, and the fact I'm now pregnant with my second has really helped me move on mentally.
Piglet, please don't let it put you off having a second baby! It sounds like your first birth was very recent, but maybe with time the emotional wounds will become less raw. You can have a very different birth second time around. I am hoping, in my case, this will help me deal mentally with the trauma of my first birth.