Taking on this issue isn't an easy thing. Although I have a very strong opinion on the topic, I wanted to remain as neutral as possible. That means that I avoided emotionally charges articles as well as most opinion pieces, if not all of them. I also wanted to avoid moral debates, because morality isn't clearly defined. I recommend doing the same if you want to research conversion therapy so you can allow your audience to form their own opinions based on the science, legal issues, as well as the research that surrounds the topic. It's easier to get your point across when you provide clear, factual pieces of evidence instead of an emotional declaration.
Like I've mentioned before, this is a difficult topic. I had a hard time getting through some of the material I was researching, and that's totally okay. The important part is that I was able to separate my emotions from my research in the end. I recommend spreading out your research so you don't have to do it all in a short amount of time. I also recommend comfort food.
Interestingly enough, Facts On File: Issues and Controversies doesn't have information about conversion therapy, despite conversion therapy becoming once again a prevalent topic to our society. Points of View Reference Center does provide information on the topic, but still has a limited selection. For good databases, check out the home page!