His theories have won/gained/found general/widespread 'acceptance'. [=many people regard his theories as correct]
He delivered an 'acceptance speech' after he was chosen as the party's presidential nominee.
The university has sent me a letter of 'acceptance'.
(..) - He kills women. - No. That is incidental. What is the first thing he does? What needs does he serve by killing? Anger. Social acceptance. - Sexual frustrations. - No. He covets. That is his nature. And how do we begin to covet, Clarice? Do we seek out things to covet? (..)1991 The Silence of the Lambs