I'm sorry to hear that Blue... how long have you been living in your new place? It can be really hard to meet people. Did you move for school or for work? It can start with just a simple hello to someone who you see around quite often. Start with chit-chat and if they seem interesting over time, take the plunge and invite them for coffee or something. They might say yes, they might say no. It's ok either way because you don't know them and might end up despising them yourself (Yeah, I know, nearly impossible to convince yourself of it... I'm sooo useless at it too... takes me months and months to finally hang out with someone who I talk to frequently).
Have you looked into any clubs or classes in the area? You could always attend something like that - at least you'll know that there's one thing you have in common with everyone there. You can start out by chatting about that particular activity, and then it usually branches out. At least it would be a bit of social interaction, even if it never goes further than that.
And the worry about betrayal and rejection? I toootally hear you on that. You could opt to keep things much more casual and keep people as aquaintances for as long as you need/want to. Nothing says that you have to start trusting and confiding in someone, even though that would ultimately be lovely.