You wanna worry about something? Worry about CT scans. At the hospitals they increase the power of those things over what the manufacturer sets them to to get a better picture, and that IS ionizing radiation which can increase your risk for cancer. I've heard CT scans are anywhere from 40 to 80 times more powerful than a standard chest X-Ray.
It's probably closer to 50 to 200x more ionizing energy deposition than a Chest X-ray. Radiation dose from CT is a huge issue in medical investigation and treatment. Although, I wouldn't blame the hospitals necessarily - I've seen several CT scanners come from the manufacturer with everything set to max, leaving the docs to figure out why the radiation doses are so high.
Still, this thread is about non-ionizing radiation. What's interesting is that MRI scanners are probably the most intense source of non-ionizing (RF) energy that most people are likely to come across. There is an RF transmit antenna (typically 60- 120 MHz depending on magnet strength) in the tunnel of the scanner - so that the body to part to be examined lies within the near field (Fresnel) region of the antenna. The transmitters feeding the antennas are pretty impressive - 480 V 3 phase power feeds, and 35 kW RMS output (albeit pulsed).
The RF energy in the scanner is so intense, that the techs have to be very careful when they connect they place the receive antennas over the relevant body part. If the cables running to the receive antenna is coiled or two cables cross inside the scanner, they can arc or catch fire due to the intense RF (much like loops of metal will arc inside a microwave oven). On modern scanners the antennas are designed with super short, or rigid, leads so that they can't be crossed or coiled.
Body heating is a serious problem with MRI, and the scanners have special software built in to calculate the energy absorbed as heat (SAR) and to limit the SAR to pre-defined levels. Even so, it can get pretty hot in the scanner due to all the RF energy deposition. In fact this is one of the limiting factors in MRI - as you increase the magnet strength to get better image quality, the SAR goes up exponentially, requiring complex mitigation techniques.