somewhere to go; place to go
Refers to a destination or a place one can head to; often used in negative or uncertain contexts like 行く当てがない (have nowhere to go).
He had nowhere to go and spent the night on a park bench.
I quit my job, but I haven't decided where to go next.
Kana spelling of 当て is also common in everyday writing.
Compound of 行く (iku, 'to go') and 当て (ate, 'aim, prospect'). The exact historical derivation is uncertain, but it functions as a noun meaning a place to go.