FUD analogy since proximity is irrelevant because it is the actual number of photons and there energy level (wavelength) that actually reaches you that matters. Also it should be correctly called
electromagnetic radiation and not just radiation since the word radiation has several definitions and to most people it is ONLY associated with
ionizing radiation (bad kind) or high energy particles/externally short wavelengths/high frequency/Ultra Violet and higer (DNA altering/cancer causing). Even saying
electromagnetic radiation still sounds ominous to most people. We should all be required to say "Turn on the electromagnetic radiation switch" (instead of light switch). Or 2 people shared intimate
thermal radiation (another type of radiation) while having sex. Neither of which are ionizing radiation (the bad kind).
EDIT: Just to add a WiFi router's output is about 100mW (0.1 Watts) and the
Watch's WiFi would be a small fraction of that. Probably under 10mW (0.01 Watts). A microwave oven is usually about 1000 Watts and in a focused/directed beam.
Here is a very good paper explaining the Sun compared to a WiFi router:
http://www.atomsandnumbers.com/2013...-cant-and-how-microwave-ovens-cook-your-food/