@NotInsaneIt sounds like such a horrible situation to be in. It must be so difficult to be treated like family in this way. I started seeing a psychologist a little under a year ago, not because I thought there was anything wrong with me, but because I just needed someone to talk to about my personal issues and I didn't really have anyone else to talk to about it. I just found it helpful to talk to someone and just telling someone out loud helped.
Now I'm not saying you should, or need, to see a psychologist and i'm definitely not saying there's anything wrong with you. Just that, like me, you might find it helpful just to talk to someone independent who isn't going to judge you, just listen and offer some thoughts. It definitely doesn't sound like you'll get that from your family, and personally, I wouldn't really listen or care what anyone said once they started laughing a me and calling me names like they called you.
It doesn't have to be a psychologist either, it could just be some kind of counselor or support worker or even one of those helplines. I don't know how old you are, but if you're under 26, then something like Kid's Helpline may be suitable for you. It's a bit of an odd name since it is for young adults as well. So continue to reach out and try to find that support you deserve where ever you feel comfortable, whether that's here or one of the other suggestions. You're definitely not alone.