noun
Refers to a target or purpose one has in mind; often used in phrases like あてどなく (aimlessly) or あてどもなく (without a clear goal).
彼はあてどもなく街を歩いた。
He wandered aimlessly through the streets.
あてどのない旅に出る。
Set off on a journey with no particular destination.
Compound of 当て (ate, 'aim, object') and 所 (to, 'place'). The reading ど is a voiced variant of と (所) in compound words.