I want to talk about what's going on in my head but don't want to burden those close to me.
Do you think they might judge you? Can you help me understand?
Yes, they would start to hate me
Friends are supposed to be there for you when you are in of need help, so you shouldn't be afraid or seeking their support and comfort. If they judge you, then obviously they are not friends worth keeping.
I've been sick and wanted to talk to someone but I did not want to bother anyone.
You are not a burden. If you feel you might cause them trouble you can see a therapist.