The letter from a reflexologist (TNT, 3-5) attempted to defend her chosen livelihood as based on science and accepted by mainstream medicine. But of course it is not. It is based on an absurd theory of imaginary connections between zones on the foot and other parts of the body.
Yes, it's licensed, it is being studied and is recognized by the NIH as an alternative medicine; but that doesn't mean it works.
Yes, there are a few small, poor-quality studies that seem to support it, but preliminary studies often seem to support ineffective treatments because they elicit a placebo response.
Systematic reviews of all the published evidence have repeatedly shown no evidence that reflexology is an effective treatment for any medical condition. A relaxing foot massage feels good, but don't expect any other benefits.