WordNet sense 1 (a pain that is felt (as when the area is touched)):

rawness, soreness

WordNet sense 2 (warm compassionate feelings):

tenderheartedness

WordNet sense 3 (a positive feeling of liking):

affection, fondness, heart, warmheartedness, warmness, affectionateness, philia

WordNet sense 4 (a feeling of concern for the welfare of someone (especially someone defenseless)):

softheartedness