rep‧u‧ta‧tion W3 [countable]
In her last job she acquired a reputation as a troublemaker.
earn/gain/establish a reputation as something
His approach had won him a reputation as a tough manager.
a good/bad reputation
a hotel with a good reputation for its food
The service at Heron Lodge failed to live up to its reputation (=be as good or bad as people say it is).