The broadcasting boss was criticised last year after Arlene Phillips, 66, was dropped from the Strictly Come Dancing judging panel in favour of former winner Alesha Dixon, 31.
Meanwhile, the debate was reignited last month as former Countryfile presenter Miriam O'Reilly, 52, claimed to be a victim of ageism and sexism after being axed from the programme and replaced by Julia Bradbury, 36.
However, speaking to The Guardian, Hunt insisted: "The simple fact is I am a 43-year-old woman. I feel passionate about how BBC One reflects the audience back to itself.
"It is absolutely ridiculous to think that I would want to alienate older female viewers by taking older female presenters off the television. That would be completely illogical.
"The facts are the opposite. Anne Robinson is back on BBC One presenting Watchdog, and Sheila Hancock will be part of the panel on Over the Rainbow. Sue Johnston stars in A Passionate Woman. I don't recognise the charge."
Of the Arlene Phillips row, she added: "Yes, a lot of people were upset about Arlene but the flip side is, in Alesha, we have a young black woman presenter at the heart of the Saturday night BBC One schedule. Anyway, Arlene is part of the latest returning hit, So You Think You Can Dance?."