Photographer: Aleix Adrià / Actress: Maria Colom
In my opinion, the difference is that a feeling is a series of experiences related to the emotion created by a related personal intimate self-report with a situation, a person or a moment, it means that are the emotions that create feelings.
The feeling is more elaborate, more mental. Emotions are more instantaneous, a reaction in relation with what is happening, action-reaction with what happens to you, is a more specific place of yourself, emotions are often confused with feelings.
Contemporaneity says that now everything is more fragmented, fast, more related to emotion than to feeling.