Hate and love can be very closely related, and the line separating these two emotions can be very thin. Love can quickly turn to hate when a romantic relationship breaks up, and this is also true when a beloved friend or family member betrays you. If you feel hate then you need to forgive the person and let this emotion go before it hurts you even further. Love is positive but hate is negative and destructive.
When a toxic person can no longer control you, they will try to control how others see you. The misinformation will feel unfair, but stay above it, trusting that other people will eventually see the truth just like you did.