Dramatic writing always begs for feelings. Or is it emotions? It's actually both things, that begging. The differences tell us when to rely on each one as we create our scenes and stories.
Simple enough
Rage = Emotion
Contempt = Feeling
Feelings are emotions refined. Emotions are raw, unconsidered, sudden and unbidden.
The rage boiled up in me.
There was an air of contempt in his speech.