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She seemed preoccupied with her phone and didn't hear me call her name.

Engaged in thought or attention to something, often to the exclusion of other matters.
She looked preoccupied, staring into space.
Don't bother him; he's preoccupied.
He was preoccupied and missed the bus.
deeply preoccupied
visibly preoccupied
seemed preoccupied
distracted
absorbed
engrossed