Synonyms for Obsessed (same or very similar meaning)
WordNet sense 1 (influenced or controlled by a powerful force such as a strong emotion):
possessed
WordNet sense 2 (restrained or managed or kept within certain bounds):
controlled
WordNet sense 3 (having or showing excessive or compulsive concern with something):
haunted, preoccupied
WordNet sense 4 (feeling or showing worry or solicitude):
concerned
From the ODE community, based on WordNet
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