The Pension Plus Scheme provides financial support for dental, chiropody, and optical check-ups.
Preston City Council's scheme is open to those who get council tax support but not pension credit.
"There is nothing tougher than a tough old lady, so we are not giving up."
Women hit by changes to the state pension age say the decision shows "utter contempt" for their situation.
Betty Miller has been helping hospital patients and visitors for 36 years.
London Councils is concerned about the rising expense of delivering the scheme.
Denis Paine, from Halfway, takes part in the 5km (3.1 mile) runs most weekends.
Residents in two tower blocks see a huge rise in their energy bills that were previously subsidised.
Pensions Secretary Pat McFadden says that the rethink does not mean that payouts will necessarily follow.
