Am i missing the point my mum is really angry at ME and said i betrayed her trust for a stupid reason?

i don't think you did anything too wrong. i think your mom is angry, not really at you, you just caught it. i think that see hurt inside and anything you would have done would have caused a reaction. she is hurting you because she hurts inside, maybe about her life, and even though she may be working and such, she is unhappy. her life has not turned out he way she wanted it to. you were just there when she had to blow. i know you need the laptop to do school work, she is being mean about this because of the hurt inside of her. here's an idea, that might help. does a grocery store near you sell cut flowers?the flowers are quite reasonable, get a bouquet of some flower she likes. when you are going over to her place after school, pick up a bouquet and bring them to her, when she is sitting down hand them to her and give her a kiss on the cheek. tell you you love her and that you don't say it enough. in other words try to break this stalemate between you. she may throw the flowers and start to yell,don't let that bother you. she will start to think later. don't take what comes out of her mouth personally, she is unhappy. don't pay any attention to what she says or how it comes out, don't pay any attention to what she says, it's the hurt talking. keep your cool. she will start to think about things, and things will get better. try to think of ways to surprise her and i'll bet in time she will start to treat you better, she will start to realize that you are on her side.