Advice ?

I am diagnosed with schizophrenia and a few weeks ago I was having a really difficult time. I was going through a lot and so it became very obvious to the people around me. They knew I was diagnosed but I’ve only known them a few months so I don’t think they really knew how it affects me. One of my friends (T) was talking to my other friend (L) about how I was and was saying to L and L’s mum about how she doesn’t want to move in with my next year because she scared I would kill them or something. I kind of knew about it but I thought T was joking but L has now said that T was being serious. T was seriously worried I would really hurt someone. T had been supportive the whole time and helped me feel better over time and manage my mental health. However now I know what she had been saying behind my back I feel hurt because I would never hurt anyone and the fact she even thought I would feels a bit offensive. I don’t think she’s really educated on what it’s like and how I am personally affected. I am not sure if I should talk to her about how I am effected by my mental health and tell her that it doesn’t matter how much I am struggling I would never hurt someone and tell her I am upset that she even thought I would or do I just leave it cause it was a few weeks ago now ? I am also upset because her friends have been telling her I am dangerous and stuff despite never showing signs of being dangerous.