The problem is that the word "radiation" covers a lot of ground, which most people aren't aware of.
Typically, what you're worried about is ionizing radiation (high frequency EM radiation like UV, X-rays and gamma rays, high-energy charged particles or neutrons). Most microwave sources (mw ovens, wifi access points, cell phones, etc.) don't have enough energy to do much (if any) damage. High power radio transmitters can cook you if you stand next to them, but that's not going to happen unless you work on a radio tower or radar system and refuse to follow even the most basic safety protocols.
X-rays do fall under ionizing radiation, but like botox, it's the dose that makes the poison. One chest x-ray a year isn't going to cause any lasting damage.
As for the subject of this thread, I have no useful advice other than to be patient. I've found that irrational fears are incredibly hard to overcome without some kind of professional guidance.