All radio is non-ionizing EM, far lower frequency then visible light, thermal, etc. UV, Xrays, and gamma rays are in the opposite direction, higher frequency. Radio cannot do anything except minor amounts of heating, and at milliwatts of transmission power and inverse square law that's REALLY minor amounts of heating. There is no link to any sort of health effects from indirect distant exposure by far, far stronger things like radar or people working at AM/FM radio transmitters, nor any plausible theoretical one (though of course one should be careful with raw high power stuff that could create enough heat to cook, as well as the high voltage components that power it). Just in terms of natural exposure we face endless things that cause vastly stronger thermal effects.
I don't know if that's enough to calm you down, or if the entire planet going to massive wireless usage in the span of a decade and over a decade later no discernible significant related physical health effects (mental/social effects aside here, which are real but software not hardware) makes you feel better, but if nothing else don't get scammed by people who lump all "RADIATION!!" together as if the photoelectric effect and quantum mechanics was never discovered. Nor get hyperfocused on some specific tiny but "new" seeming device while ignoring the ginormously bigger ones around you take for granted and never think about (rightly in most cases).