First thing is to obey your mother.
She is right. That now you are grown up you should not go out alone. You can create work to keep yourself busy at home.
To go out & play is not the only the job of the girl.
This is the time that you learn what is going to do in your later life.
Go to the kitchen learn cooking, stitching, washing, cleaning , how to decorate your room .
If you teach a man you teach one person but if you teach a woman you teach a family.