Sometimes this happens. People share their problems with family and then when you make a suggestion that freightens them they become very upset. Mental health is very scary! Even when what you are saying is true it is still scary to have to accept that you might have issues that can fit within a diagnosis so perfectly. The idea of mental health alone has its' own taboo. So when she overreacted she may have been reacting to this stigma or she may have been threatened by the fact that she has to accept that she may have a disorder. She may be at the stage where she is not ready to accept that. I would not mention it again since it may look like you are saying she is "crazy" when you were not. But you have planted the seed. Now let her decide if she agrees and if she chooses to do anything about it. You have done your job - trying to help. Now let her decide if she wants to accept the suggestions.
If this has been helpful press accept