Hi, sorry you've had such a rough time. I'm a GP who fits coils (day off today - should really be doing my appraisal paperwork which is why I'm on MN instead!)
I honestly think you've been really unlucky rather than the fitter doing anything wrong at the time of fitting.
Firstly, It's impossible to accidentally fit a coil upside down- they come pre-packaged in the inserter tube, so you'd have to pull it out and stuff it back in the tube the wrong way round. Even if you did do that and tried to fit it, the 'wings' wouldn't be able to open, so the whole thing would just come straight back out again with the inserter tube.
The only thing I can think that can have happened is it turned round with uterine contractions / cramping. That may have happened almost immediately or may have happened hours/days/weeks down the line, but without a scan there is no way for the fitter to have known this.
You've been doubly unlucky because I would have expected the threads to be completely drawn up into the uterus if the coil turned round- the notes from your hysteroscopy show that the threads were still visible. If they'd been missing when you had a check up, it would have been obvious something was wrong, it would have led to a scan and that would have picked this up for you sooner.
I would also read the hysteroscopy note a bit differently- when it says 'incorrectly placed' I would take that to mean it was in the wrong position at the time of the hysteroscopy - ie 'sitting incorrectly' or upside down. I wouldn't read that to mean 'incorrectly fitted' which is I think how you and PP have read it.
It's definitely worth feeding back to the family planning clinic, as I fitter I keep a log of my fittings and the outcomes, and it's important to know, but unfortunately not all coil fittings do go 100% to plan. A PP above mentioned cervicogenic shock as an example- again, this is just the body's reaction sometimes to cervical treatments, and doesn't mean the fitter did anything wrong- I've seen it happen on the smoothest of coil insertions.
Hope you do find something else to suit you. I think the learning point isn't in the fitting procedure here, but in the response to your ongoing symptoms after fitting. I personally have a low threshold for coil removal if it's not suiting someone for whatever reason, but I can also understand if it was your last option (ie nothing else is suitable for you) why they might have wanted to try and give it a wee bit longer. Best wishes.