Synonyms/Hypernyms (Ordered by Estimated Frequency) of verb obsess
2 senses of obsess
Sense 1
haunt, obsess, ghost -- (haunt like a ghost; pursue; "Fear of illness haunts her")
=> preoccupy -- (engage or engross the interest or attention of beforehand or occupy urgently or obsessively; "His work preoccupies him"; "The matter preoccupies her completely--she cannot think of anything else")
Sense 2
obsess -- (be preoccupied with something; "She is obsessing over her weight")
=> worry -- (be worried, concerned, anxious, troubled, or uneasy; "I worry about my job")