There are many different words that one could use as synonyms for the phrase "affect emotionally." For example, one could describe someone as being moved by something, or feeling impacted by a particular event. Alternatively, one might say that someone is experiencing strong feelings in response to something, or that they have been deeply affected by a particular experience. Other words that could be used as synonyms for this phrase might include "moved to tears," "affected deeply," "feeling overwhelmed," or "emotionally connected." Ultimately, the most effective synonym for this phrase will depend on the context in which it is being used, as well as the individual needs of the writer or speaker.