If something causes emotions, we say it evokes, arouses, stirs, or triggers emotions.
Some people like to display, express, or show emotion – whereas others try to hide, repress, or suppress their emotions. Emotions that are suppressed can be called pent-up emotions.
If you feel two different or opposite emotions, then you have conflicting emotions or mixed emotions (we often say “mixed feelings”). And if you experience various emotions one after another, we can call this a roller coaster of emotions.
Very strong emotion is sometimes called raw emotion or intense emotion. If the emotions are so strong that it’s difficult for you to think or speak, then we say you are overwhelmed or overcome with emotion.