Umm... like generally attracts like, so it seems odd that you've ALWAYS attracted damaged, lonely and depressed women. Independent, confident women (and most women in general) are attracted to independent, confident men!
How can you tell these women are damaged, lonely and depressed upon meeting them? If they're getting attached to you too fast... that implies you're sleeping with them. It's just common knowledge that most women get attached to men they have sex with. Perhaps you need to qualify them better before hitting the sheets!