When someone else tries to put me down, or provide negative criticism, I have learned that they are almost certainly simply trying to make themselves feel better.
Anger and hatred or disgust are obvious emotions, but on realising this, pity is more likely. Pity can become compassion for them with practice. When they have finished, they will not feel better for very long. Especially if compassion is returned.
When negative responses stir, the energy can be transmuted into compassion.