Your dog should be unaffected from your radiation. Please schedule an appt. with your veterinarian to have her seen for itching and hair coat issues. It's likely something has changed so the itch is now present.
I found fleas on a dog on Saturday that was itching while the other dog had no symptoms - so fleas are still possible and flea sprays do little to solve a flea problem. Other possibilities are seasonal alopecia, low thyroid, other parasites, as well as allergies. The skin can only respond in a few ways to a myriad of things, so an exam and diagnosis is necessary to help get to the bottom of the issue.