Flexible Financing for Rural America Act This bill allows rural utility service providers to submit to the Department of Agriculture (USDA) a request to adjust the interest rate or modify the terms of certain loans. The request shall include a report summarizing how the adjustment or modification will assist the borrower in providing critical utility services to a rural community. Specifically, on receipt of a request, USDA or the Department of the Treasury (in the case of a loan owned by the Federal Financing Bank) must adjust the interest rate on the loan to match certain interest rates for obligations of comparable maturity to the term remaining on the loan (or a higher rate requested by the borrower), and make modifications to the loan terms as necessary to address changes in the financial position of the borrower due to the COVID-19 public health emergency and to promote the financial sustainability of the borrower. In carrying out the adjustments or modifications, USDA or Treasury shall not impose or collect any fee from, or impose any penalty on, a borrower. The bill also provides funding to implement the adjustments and modifications and for the liquidation of residual intragovernmental amounts owed by the Federal Financing Bank in connection with certain loans.