Tracy Packer, Peabody's managing director for north-east London, said it was "an important report" which "reflects survey responses from around a quarter of homes on the estate."
She said Peabody wanted to hear from all Nags Head residents to "help us shape this investment and agree where the improvements will be made".
"Last year we invested over £1m on improvements here and I'm committed to designing a £3m plan with residents which I hope will make a positive difference.
"Unfortunately, it will take time to resolve all the issues."
She added wider issues, such as overcrowding, "continue to be a huge problem and is a major part of London's housing emergency", along with "rapidly rising costs" which means its social rented homes "cost far more to run, than the rent can cover".
"This makes it an exceptionally challenging situation," she said.
"But we are doing our best and are determined to improve."
It comes as landlords for social housing in England will have to fix damp and mouldy properties more quickly from October, the government has announced.
The rules will eventually cover private landlords as well.
Campaigners called for stricter rules after two-year-old Awaab Ishak died because of mould at his Rochdale home in 2020.
Kwajo Tweneboa, a social housing activist said: "Residents reach out to me because they've knocked on every other single door and they've been ignored.
"When it comes to fixing these issues and costs, yes - we can talk about building houses, but treating people as human beings with respect costs nothing.
"Yet it is the biggest issue when we talk about the housing crisis and social housing in particular."