There comes a point when you need to take the irrevocable step when lying is more painful than the consequences of truth. Your parents have feared this moment and so have you but now the worst is over. It sounds like your mum is more affected by the revelations but at least she took the time to read what you provided and she can see what motivated you to reach your decision. Whether she will reach the same conclusions you did is difficult to know but certainly she is shocked by what you showed her. Give her some space to let it sink in.
I wish you well and hope that your relationship with your parents can reach some kind of balance.