feeling has 16 distinct synonyms spread across 4 of its 6 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a vague idea in which some confidence is placed
“his impression of her was favorable”
a physical sensation that you experience
“he had a queasy feeling”
the sensation produced by pressure receptors in the skin
“she likes the touch of silk on her skin”
an intuitive understanding of something
“he had a great feeling for music”
Synonyms, antonyms and the broader and narrower relations for feeling come from Princeton University’s WordNet. Full sources and licences.