Synonyms for Disfavor (same or very similar meaning)
WordNet sense 1 (the state of being out of favor):
disfavour
WordNet sense 2 (an inclination to withhold approval from some person or group):
disapproval, dislike
WordNet sense 3 (put at a disadvantage; hinder, harm):
disadvantage
From the ODE community, based on WordNet
add/edit