Braverman had said ministers must challenge the “poison” of talk of subjects such as white privilege and gender ideology.
The Home Secretary made her speech after a visit to Bolton earlier in the day, where she said some immigrants are “not embracing British values” and are living “parallel lives” to the rest of the country.
She said: "It’s my job, first and foremost, to be honest and speak for the majority of the British people.
"And my comments have been somewhat mischaracterised.
"We have so much to be proud of. We have a great multi-ethnic society and in many parts of our country integration has worked.
"But there are also many towns and cities around the United Kingdom where it hasn’t and communities are living parallel lives.
"They are coming from abroad, they are not learning the language. They’re not embracing British values, and they’re not taking part in British life."