Synonyms for Unenviable (same or very similar meaning)
WordNet sense 1 (hard to deal with; especially causing pain or embarrassment):
awkward, embarrassing, stickyWordNet sense 2 (not easy; requiring great physical or mental effort to accomplish or comprehend or endure):
difficult, hardWordNet sense 3 (not desirable):
undesirableFrom the ODE community, based on WordNetadd/edit