There is no such thing as normal for a human being (no universal law defined what normal is, only man and his cultural and social belief systems) and no such thing as worthlessness. It's another belief system.
Life is the experience of being alive.
What are you really feeling because there is no such thing as a feeling of worthlessness. There is happiness, loneliness, sadness, frustration, anger, annoyance, irritability...etc but there is no such things as feeling worthless, there is only believing you are worthless (a belief system) based on social and cultural norms and expectations at the time.
Society has a bad attitude towards anything they define as different, society is a prejudice d**K.
I am sorry you are feeling so sad right now though. If you need a shoulder to cry on or someone to talk to please feel free to email me.