Only Tiny Pre Teens What Is It Reasonable For An 11 Y.o To Do On Her Own Socially?

What is it reasonable for an 11 y.o to do on her own socially? - only tiny pre teens

Shopping at the mall? Meeting friends for lunch? Cycle through the streets, crossing busy streets alone?
I know I am a little overprotective of my daughter, but I wonder what the others get up their pre-teens, without them! It is sensitive, mature and I trust him. He returned home from a sleepover with a friend, whose parents at the mall for shopping and movies alone fallen. I had never in the sense that allowed him to do the front too. Maybe I'm too tight? She rings and walks alone or with friends for free at home (as long as I) an approximate time of return, but we live in a small rural community.
I am afraid to sue one of those overprotective mothers, but I also want a child.
What are reaching the other 11 years?