The phrase "affect deeply" can be replaced with a variety of synonyms that convey intense emotional impact. One option is "move profoundly," which suggests a significant shift in one's emotional state. Another possibility is "touch deeply," which implies a personal connection or an emotional resonance. Alternatively, "stir deeply" connotes a powerful reaction or awakening of emotions, while "impact greatly" emphasizes the extent of the emotional influence. Other synonyms for affecting deeply include "shock deeply," "hit hard," and "pierce the heart." Whatever word choice is used, it should accurately capture the depth of emotion experienced.