Poetry is an art. It is the art of writing down how (not what) you feel.
Poetry makes you feel better. It makes you better able to feel, better at feeling.
Emotions are how (now what) we feel. Poetry makes your emotions more precise.
Precision in feeling is intensity. Poetry is intense.
Poetry is emotional notation, the art of writing emotions down.
Poetry makes you feel better by getting you to notice your emotions.
Cf. "What Is Philosophy?"